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Finding the Third Proportional to 48,764,443.50 and 66,419,453.25

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Solution

The third proportional to 48,764,443.50 and 66,419,453.25 is: 90,466,402.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,764,443.50 : 66,419,453.25 = 66,419,453.25 : x
  2. Step 2: Convert to fraction form
    48,764,443.50/66,419,453.25 = 66,419,453.25/x
  3. Step 3: Cross multiply
    48,764,443.50x = 66,419,453.25 × 66,419,453.25
  4. Step 4: Simplify right side
    48,764,443.50x = 4,411,543,770,028,935.50
  5. Step 5: Solve for x
    x = 4,411,543,770,028,935.50/48,764,443.50
  6. Step 6: Final answer
    x = 90,466,402.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.