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Finding the Third Proportional to 3,452,232.38 and 5,178,346.88

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Solution

The third proportional to 3,452,232.38 and 5,178,346.88 is: 7,767,517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452,232.38 : 5,178,346.88 = 5,178,346.88 : x
  2. Step 2: Convert to fraction form
    3,452,232.38/5,178,346.88 = 5,178,346.88/x
  3. Step 3: Cross multiply
    3,452,232.38x = 5,178,346.88 × 5,178,346.88
  4. Step 4: Simplify right side
    3,452,232.38x = 26,815,276,357,822.27
  5. Step 5: Solve for x
    x = 26,815,276,357,822.27/3,452,232.38
  6. Step 6: Final answer
    x = 7,767,517.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.