A back of the napkin calculation would be:
2010: VITAS I: Kills 25% of population (Sixth World Almanac, pg 19, et. al)
2022: VITAS II: Kills 10% of population (Sixth World Almanac, pg 35, et. al)
Metas' birthrates are a bit tricky. Orks bearing 4 children on average with "six or eight...not uncommon" (Corebook 1st ed., pg 28) is rough to calculate due to all the cultural, economic, and environmental factors affecting them. Additionally their nearly half typical lifespan as that of H. sapiens sapiens is also an issue. So I think a safe, very rough, calculation for orks is that they produce young x4 faster than normal, but die in half the time, so an overall x2 modifier to ork population (again, safe and rough calculation that leans towards deleterious cultural, economic, and environmental factors).
Also, erring on the safe side, assume that orks, as a population, don't hit their stride until some time after 2031...which would be about the date when the first naturally born orks would hit puberty...so, safe side, 2035 is when ork populations begin breeding like, well, orks.
But then, Run Faster lists the word wide ork population to be 22% (pg 45) as of 2076. What this means is that, in 2021 where one in ten goblinized (starting population of less than 10% when subtracting trolls) the population increased to 22% over 55 years. Yet elves and dwarves combined is 29% and they have a few years on orks. And even if we add in trolls to the orks' population, the orks and trolls are still trailing elves and dwarves by 2% by 2076. So it's pretty safe to say that despite the high birth numbers of orks, outside factors (and their short lifespans) are still severely limiting their full population growth potential by the current date.
So now, crunch the numbers by just graph-matching (I'm randomly grabbing this site's graph
http://www.worldometers.info/world-population/ ) to current world population data and see where we get:
In 2010, real world population was 6.92 billion which drops to 5.19 billion after VITAS I.
5.19 billion was the real world population in about 1989.
Goblinization hits in 2021, 11 years after VITAS I, equivalent of year 2000 (11 years after 1989), where the population was 6.13 billion.
613 million of which became orks and trolls (I can't find anywhere where it lists how many were orks and how many were trolls).
VITAS II is 12 years after 2010, so 1989+12 = 2001.
In 2001, real world population was 6.2 billion which drops to 5.58 billion after VITAS II.
5.58 billion was the real world population in about 1993.
So 2022 (5.58 billion) to 2076 is 54 years.
1993 (5.58 billion) + 54 years is 2047.
2047 is projected to have a population of 9.41 billion
Now all that is based on 1990 to 2010 agritech and other technologies so all the NutraSoy products, Arcology-living, and what not might boost those numbers up in the later years.
And on the other hand, all the pollution and toxic disasters of the early SR 2010s might have had long lasting population growth inhibitors, so we could bring those numbers back down from the boon of tech.
You can also dig in and do smaller modifications...like estimating the number of the population killed in the Ghost Dance War and the Eurowars and the affect on the world population that SURGE or Crash 2.0 would have. But in each of those cases I'm hard press to make a case for over 1% world population in causalities and effects.
And even today, if you were to kill off the entire L.A. County (10.2 million people), that's 'only' 0.14% of today's 7.313 billion people...we're still rounding to 7.3 billion.
So 9 billion seems like a safe estimate, with 1.98 billion being orks. But again, it's a back of the napkin rough estimate with lots of assumptions.