Removing correlation between independent variables If there are two continuous independent variables that show a high amount of correlation between them, can we remove this correlation by multiplying or dividing the values of one of the variables with random factors (E.g., multiplying the first value with 2, the second value with 3, etc.). We would be keeping a  copy of the original values of the independent variable whose values have been transformed for proper comparison of the original values with the prediction results received. Can this be considered as an alternative to dropping one of the highly correlated variables?
can we remove this correlation by multiplying or dividing the values
of one of the variables with random factors (E.g., multiplying the
first value with 2, the second value with 3, etc.)

No you can not decorrelate 2 variables by multiplying or dividing them by a random factors, you can use one of the following methods instead if you want to keep the 2 variables:

Divide a and b: new_a = a / b
Powering up a: new_a = a^2, a^3, ...
PCA
...