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Finding the Third Proportional to 3,947,732.44 and 8,482,674.38

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Solution

The third proportional to 3,947,732.44 and 8,482,674.38 is: 18,227,112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947,732.44 : 8,482,674.38 = 8,482,674.38 : x
  2. Step 2: Convert to fraction form
    3,947,732.44/8,482,674.38 = 8,482,674.38/x
  3. Step 3: Cross multiply
    3,947,732.44x = 8,482,674.38 × 8,482,674.38
  4. Step 4: Simplify right side
    3,947,732.44x = 71,955,764,552,281.64
  5. Step 5: Solve for x
    x = 71,955,764,552,281.64/3,947,732.44
  6. Step 6: Final answer
    x = 18,227,112.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.