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Finding the Third Proportional to 71,972,765 and 155,414,062

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Solution

The third proportional to 71,972,765 and 155,414,062 is: 335,592,646.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,972,765 : 155,414,062 = 155,414,062 : x
  2. Step 2: Convert to fraction form
    71,972,765/155,414,062 = 155,414,062/x
  3. Step 3: Cross multiply
    71,972,765x = 155,414,062 × 155,414,062
  4. Step 4: Simplify right side
    71,972,765x = 24,153,530,667,339,844
  5. Step 5: Solve for x
    x = 24,153,530,667,339,844/71,972,765
  6. Step 6: Final answer
    x = 335,592,646.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.