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At least the numbers work out that way assuming they keep having kittens and none of them die, etc. If each litter has 2.8 surviving offspring and each female cat has two litters per year. (Cat litters average about five and they can have a litter every three months so these numbers could be substantially higher.)
Year 1: (two cats litter at time zero, time six months and 12 months): 12 offspring
Year 2: 1/2 of all cats in Year 1 had 2.8 kittens at 18 and 24 months): 54
Year 3: 316
Year 4: 1819
Year 5: 10,479
Year 6: 60,360
Year 7: 347,674
Year 8: 2,002,600
Year 9: 11,534,979
Year 10:66,441,480
Total: 80,399,772
If you assume each litter has 4 kittens, the number is 6.9 billion. Even if each litter is two kittens, the total is still around two million. This is a pretty compelling case for fixing your cats.
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