Solution: $5,7,16,25,28,33,36$  
From the squares with side lengths of 9 and 2, we can deduce the square with a side length of 7. From the squares with side lengths of 9 and 7, we can deduce the square with a side length of 16. We can deduce the side lengths of the other squares in the same manner. As shown in the figure:
10. A rectangle that can be perfectly tiled with smaller squares of integer side lengths, all of different sizes, is called a perfect rectangle. As shown in the figure below, this is a perfect rectangle. It is known that one of the squares has a side length of 9 (the number is written in the center of the square), and the smallest square has a side length of 2. Please write down the side lengths of the remaining 7 smaller squares in ascending order here _. $\qquad$