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Finding the Third Proportional to 74,371,839 and 161,913,468

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Solution

The third proportional to 74,371,839 and 161,913,468 is: 352,498,626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,371,839 : 161,913,468 = 161,913,468 : x
  2. Step 2: Convert to fraction form
    74,371,839/161,913,468 = 161,913,468/x
  3. Step 3: Cross multiply
    74,371,839x = 161,913,468 × 161,913,468
  4. Step 4: Simplify right side
    74,371,839x = 26,215,971,119,787,024
  5. Step 5: Solve for x
    x = 26,215,971,119,787,024/74,371,839
  6. Step 6: Final answer
    x = 352,498,626.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.