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Finding the Third Proportional to 32,468,748.75 and 67,624,227

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Solution

The third proportional to 32,468,748.75 and 67,624,227 is: 140,844,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,468,748.75 : 67,624,227 = 67,624,227 : x
  2. Step 2: Convert to fraction form
    32,468,748.75/67,624,227 = 67,624,227/x
  3. Step 3: Cross multiply
    32,468,748.75x = 67,624,227 × 67,624,227
  4. Step 4: Simplify right side
    32,468,748.75x = 4,573,036,077,347,529
  5. Step 5: Solve for x
    x = 4,573,036,077,347,529/32,468,748.75
  6. Step 6: Final answer
    x = 140,844,234.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.