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Finding the Third Proportional to 5,687,882.25 and 8,048,178.75

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Solution

The third proportional to 5,687,882.25 and 8,048,178.75 is: 11,387,925.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687,882.25 : 8,048,178.75 = 8,048,178.75 : x
  2. Step 2: Convert to fraction form
    5,687,882.25/8,048,178.75 = 8,048,178.75/x
  3. Step 3: Cross multiply
    5,687,882.25x = 8,048,178.75 × 8,048,178.75
  4. Step 4: Simplify right side
    5,687,882.25x = 64,773,181,191,951.56
  5. Step 5: Solve for x
    x = 64,773,181,191,951.56/5,687,882.25
  6. Step 6: Final answer
    x = 11,387,925.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.