Finding the Third Proportional to 71,724,619,780 and 156,960,585,715
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Solution
The third proportional to 71,724,619,780 and 156,960,585,715 is: 343,489,105,185.41
Step by Step Solution
- Step 1: Write the proportion equation
71,724,619,780 : 156,960,585,715 = 156,960,585,715 : x - Step 2: Convert to fraction form
71,724,619,780/156,960,585,715 = 156,960,585,715/x - Step 3: Cross multiply
71,724,619,780x = 156,960,585,715 × 156,960,585,715 - Step 4: Simplify right side
71,724,619,780x = 24,636,625,467,995,863,384,064 - Step 5: Solve for x
x = 24,636,625,467,995,863,384,064/71,724,619,780 - Step 6: Final answer
x = 343,489,105,185.41
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.