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Finding the Third Proportional to 10,469,671 and 15,715,583

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Solution

The third proportional to 10,469,671 and 15,715,583 is: 23,590,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469,671 : 15,715,583 = 15,715,583 : x
  2. Step 2: Convert to fraction form
    10,469,671/15,715,583 = 15,715,583/x
  3. Step 3: Cross multiply
    10,469,671x = 15,715,583 × 15,715,583
  4. Step 4: Simplify right side
    10,469,671x = 246,979,549,029,889
  5. Step 5: Solve for x
    x = 246,979,549,029,889/10,469,671
  6. Step 6: Final answer
    x = 23,590,000.97

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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.