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Finding the Third Proportional to 10,062,024 and 15,690,904

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Solution

The third proportional to 10,062,024 and 15,690,904 is: 24,468,682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062,024 : 15,690,904 = 15,690,904 : x
  2. Step 2: Convert to fraction form
    10,062,024/15,690,904 = 15,690,904/x
  3. Step 3: Cross multiply
    10,062,024x = 15,690,904 × 15,690,904
  4. Step 4: Simplify right side
    10,062,024x = 246,204,468,337,216
  5. Step 5: Solve for x
    x = 246,204,468,337,216/10,062,024
  6. Step 6: Final answer
    x = 24,468,682.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.