Twin Corresponding Sudoku

Twin Corresponding Sudoku is a type of Multi-Sudoku in which the connection between two grids is made through structural similarity, without common blocks.

Rules: Two regular 9×9 Sudoku grids have no blocks in common. However, each of these grids has a unique solution that cannot be reached independently.
In each cell of the 9×9 grid, enter a number from 1 to 9. Each number must appear exactly once in each row, column, and block.
Additional rules: The numbers in the left and right grids are isomorphic. This means that if a cell in the left grid contains the number X, the corresponding cell in the right grid will always contain the number Y, and vice versa.