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Finding the Third Proportional to 71,662,550 and 152,711,695

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Solution

The third proportional to 71,662,550 and 152,711,695 is: 325,426,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,662,550 : 152,711,695 = 152,711,695 : x
  2. Step 2: Convert to fraction form
    71,662,550/152,711,695 = 152,711,695/x
  3. Step 3: Cross multiply
    71,662,550x = 152,711,695 × 152,711,695
  4. Step 4: Simplify right side
    71,662,550x = 23,320,861,789,773,024
  5. Step 5: Solve for x
    x = 23,320,861,789,773,024/71,662,550
  6. Step 6: Final answer
    x = 325,426,066.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.