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Finding the Third Proportional to 10,469,691.75 and 15,715,617

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Solution

The third proportional to 10,469,691.75 and 15,715,617 is: 23,590,056.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469,691.75 : 15,715,617 = 15,715,617 : x
  2. Step 2: Convert to fraction form
    10,469,691.75/15,715,617 = 15,715,617/x
  3. Step 3: Cross multiply
    10,469,691.75x = 15,715,617 × 15,715,617
  4. Step 4: Simplify right side
    10,469,691.75x = 246,980,617,690,689
  5. Step 5: Solve for x
    x = 246,980,617,690,689/10,469,691.75
  6. Step 6: Final answer
    x = 23,590,056.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.