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Finding the Third Proportional to 10,388,125 and 15,524,046.38

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Solution

The third proportional to 10,388,125 and 15,524,046.38 is: 23,199,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388,125 : 15,524,046.38 = 15,524,046.38 : x
  2. Step 2: Convert to fraction form
    10,388,125/15,524,046.38 = 15,524,046.38/x
  3. Step 3: Cross multiply
    10,388,125x = 15,524,046.38 × 15,524,046.38
  4. Step 4: Simplify right side
    10,388,125x = 240,996,015,853,150.62
  5. Step 5: Solve for x
    x = 240,996,015,853,150.62/10,388,125
  6. Step 6: Final answer
    x = 23,199,183.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.