Earlier quoted context omitted.
The trick is realizing that the last 3 words of your third sentence are the most important part of your slightly offensive post. That, and education. Starving a people until they can eat off of the barren land they inhabit is certainly one way of taking care of the problem. Educating them on the merits of contraceptives, and teaching them how to use their land to greater effect is another.
It's not as easy as giving them contraceptives. Culture and pragmatism both frequently encourage large families. For example, farming families have major incentives to have large families so that the kids can help with the farming tasks. So you'll need a China-like child limit or some other way to incentivize them to actually use the contraception you provide.
That's why education is key as well. People who are well-educated have less children, on average. Look at the US, for example. So educate them, and enable them to become wealthy. Right now, they can't.