What A Billion People Can Do

Obviously a billion people can do a lot. Build really small cars, manufacture cereal box toys and party favors and give the world some really yummy inexpensive food. One thing that a billion people apparently cannot do is win in the Olympics. No, not China (which is having an old fashion Gold Rush revival in the shooting and weightlifting events), India has a lone gold medal in shooting. The US currently has 1.3*10^-7 medals for every American (a bit lower if you include those in our de facto 'guest worker program') China provides 2.7*10^-8 medals per denizen but poor India can only give its people 10^-10 medals. What's up with that?