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Finding the Third Proportional to 47,765,775.50 and 71,573,658.50

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Solution

The third proportional to 47,765,775.50 and 71,573,658.50 is: 107,248,098.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,765,775.50 : 71,573,658.50 = 71,573,658.50 : x
  2. Step 2: Convert to fraction form
    47,765,775.50/71,573,658.50 = 71,573,658.50/x
  3. Step 3: Cross multiply
    47,765,775.50x = 71,573,658.50 × 71,573,658.50
  4. Step 4: Simplify right side
    47,765,775.50x = 5,122,788,591,074,622
  5. Step 5: Solve for x
    x = 5,122,788,591,074,622/47,765,775.50
  6. Step 6: Final answer
    x = 107,248,098.40

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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.