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Finding the Third Proportional to 3,413,408 and 7,469,632

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Solution

The third proportional to 3,413,408 and 7,469,632 is: 16,345,951.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413,408 : 7,469,632 = 7,469,632 : x
  2. Step 2: Convert to fraction form
    3,413,408/7,469,632 = 7,469,632/x
  3. Step 3: Cross multiply
    3,413,408x = 7,469,632 × 7,469,632
  4. Step 4: Simplify right side
    3,413,408x = 55,795,402,215,424
  5. Step 5: Solve for x
    x = 55,795,402,215,424/3,413,408
  6. Step 6: Final answer
    x = 16,345,951.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.