6,7

The population of China is one billion people. It would seem that on a map of China with a scale of $1: 1000000$ (1 cm $: 10$ km), one million times fewer people could fit, compared to the entire territory of the country. However, in reality, not only 1000, but even 100 people would not be able to fit on this map. Can you explain this contradiction?
Note that we are talking about area, not linear dimensions.

## Solution

Since we are talking about area, not linear dimensions, the number of people should be reduced not by 1,000,000, but by $1000000^{2}$, i.e., by a trillion times.