Find the product $10 \cdot \frac{4}{3} \cdot \frac{6}{4} \cdot \frac{8}{5} \cdot \frac{10}{6} \cdot \frac{12}{7} \cdot \frac{14}{8} \cdot \frac{16}{9} \cdot \frac{18}{10}$.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the product $10 \cdot \frac{4}{3} \cdot \frac{6}{4} \cdot \frac{8}{5} \cdot \frac{10}{6} \cdot \frac{12}{7} \cdot \frac{14}{8} \cdot \frac{16}{9} \cdot \frac{18}{10}$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
512
Find the product $10 \cdot \frac{4}{3} \cdot \frac{6}{4} \cdot \frac{8}{5} \cdot \frac{10}{6} \cdot \frac{12}{7} \cdot \frac{14}{8} \cdot \frac{16}{9} \cdot \frac{18}{10}$.
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