3. Compare the numbers $x=2 \cdot 20212021 \cdot 1011 \cdot 202320232023$ and $y=43 \cdot 47 \cdot 20232023 \cdot 202220222022$.
Solution. Let's factorize the numbers $x=2022 \cdot 2021 \cdot 10001 \cdot 2023 \cdot 100010001$, $y=2021 \cdot 2023 \cdot 10001 \cdot 2022 \cdot 100010001$. From the factorizations, it is clear that the numbers are equal.

Answer. $x=y$.