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Finding the Third Proportional to 10,062,005.38 and 15,690,878.06

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Solution

The third proportional to 10,062,005.38 and 15,690,878.06 is: 24,468,646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062,005.38 : 15,690,878.06 = 15,690,878.06 : x
  2. Step 2: Convert to fraction form
    10,062,005.38/15,690,878.06 = 15,690,878.06/x
  3. Step 3: Cross multiply
    10,062,005.38x = 15,690,878.06 × 15,690,878.06
  4. Step 4: Simplify right side
    10,062,005.38x = 246,203,654,372,243.75
  5. Step 5: Solve for x
    x = 246,203,654,372,243.75/10,062,005.38
  6. Step 6: Final answer
    x = 24,468,646.68

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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.