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Finding the Third Proportional to 32,962,832 and 48,491,382.50

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Solution

The third proportional to 32,962,832 and 48,491,382.50 is: 71,335,320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,962,832 : 48,491,382.50 = 48,491,382.50 : x
  2. Step 2: Convert to fraction form
    32,962,832/48,491,382.50 = 48,491,382.50/x
  3. Step 3: Cross multiply
    32,962,832x = 48,491,382.50 × 48,491,382.50
  4. Step 4: Simplify right side
    32,962,832x = 2,351,414,176,761,306
  5. Step 5: Solve for x
    x = 2,351,414,176,761,306/32,962,832
  6. Step 6: Final answer
    x = 71,335,320.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.