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Finding the Third Proportional to 71,024,174 and 165,944,513

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Solution

The third proportional to 71,024,174 and 165,944,513 is: 387,721,248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,024,174 : 165,944,513 = 165,944,513 : x
  2. Step 2: Convert to fraction form
    71,024,174/165,944,513 = 165,944,513/x
  3. Step 3: Cross multiply
    71,024,174x = 165,944,513 × 165,944,513
  4. Step 4: Simplify right side
    71,024,174x = 27,537,581,394,807,168
  5. Step 5: Solve for x
    x = 27,537,581,394,807,168/71,024,174
  6. Step 6: Final answer
    x = 387,721,248.19

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.