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Finding the Third Proportional to 7,689,408 and 16,372,680

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Solution

The third proportional to 7,689,408 and 16,372,680 is: 34,861,545.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689,408 : 16,372,680 = 16,372,680 : x
  2. Step 2: Convert to fraction form
    7,689,408/16,372,680 = 16,372,680/x
  3. Step 3: Cross multiply
    7,689,408x = 16,372,680 × 16,372,680
  4. Step 4: Simplify right side
    7,689,408x = 268,064,650,382,400
  5. Step 5: Solve for x
    x = 268,064,650,382,400/7,689,408
  6. Step 6: Final answer
    x = 34,861,545.96

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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.