Finding the Third Proportional to 31,179,848,358 and 72,755,493,948
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Solution
The third proportional to 31,179,848,358 and 72,755,493,948 is: 169,768,686,455.44
Step by Step Solution
- Step 1: Write the proportion equation
31,179,848,358 : 72,755,493,948 = 72,755,493,948 : x - Step 2: Convert to fraction form
31,179,848,358/72,755,493,948 = 72,755,493,948/x - Step 3: Cross multiply
31,179,848,358x = 72,755,493,948 × 72,755,493,948 - Step 4: Simplify right side
31,179,848,358x = 5,293,361,899,617,465,139,200 - Step 5: Solve for x
x = 5,293,361,899,617,465,139,200/31,179,848,358 - Step 6: Final answer
x = 169,768,686,455.44
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Why These Related Problems?
These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.