Answer: The required solution is m = 28.
Step-by-step explanation: We are given to solve the following equation :
[tex]\dfrac{2}{5}=\dfrac{m}{70}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We will be using the following rule of cross-multiplication :
[tex]\dfrac{a}{b}=\dfrac{c}{d}\\\\\\\Rightarrow a\times d=c\times b.[/tex]
From equation (i), we have
[tex]\dfrac{2}{5}=\dfrac{m}{70}\\\\\\\Rightarrow 2\times70=m\times 5\\\\\Rightarrow 5m=140\\\\\Rightarrow m=\dfrac{140}{5}\\\\\Rightarrow m=28.[/tex]
Thus, the required solution is m = 28.