This is simply not a problem. China doesn't grow because its population is growing; it grows because more of its poor agrarian population become urbanized. The total population growth is negligible in relation to economic growth; it's the growth of the urban population at the loss of the rural population. China wasn't the most powerful when its population was young and exploding. Those are the demographics of poor third world nations. Developed countries with advanced tech and large value-added markets all have this trend, that people put biological reproduction after their career paths and these countries often have very dense populations. As I see it, it's basically like nature correcting itself as a country became overpopulated during the fast and dirty growth phase, now it needs to shed that to truly become a healthy high income population with much higher standard of living and resources per capita. This trend is in every technologically advanced and powerful nation; China is just much much bigger. The continued trajectory for a successful country is that the nation continues to develop until it is a world leader in tech at which point it enters a cruise mode and there is less work stress aided by a lower population and higher resources and land per capita. At this point, with less crowding and more affordable larger homes, people will begin to reproduce more to reach a new homeostasis on the population with high income, high standard of living, and high technology.
In summary, don't worry. China rises not because we're a massive zombie horde; we will be on top because we have the smartest and most driven, STEM-focused people.