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Finding the Third Proportional to 47,017,077.75 and 71,235,480.38

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Solution

The third proportional to 47,017,077.75 and 71,235,480.38 is: 107,928,733.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,017,077.75 : 71,235,480.38 = 71,235,480.38 : x
  2. Step 2: Convert to fraction form
    47,017,077.75/71,235,480.38 = 71,235,480.38/x
  3. Step 3: Cross multiply
    47,017,077.75x = 71,235,480.38 × 71,235,480.38
  4. Step 4: Simplify right side
    47,017,077.75x = 5,074,493,664,257,010
  5. Step 5: Solve for x
    x = 5,074,493,664,257,010/47,017,077.75
  6. Step 6: Final answer
    x = 107,928,733.71

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.