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Finding the Third Proportional to 47,247,474 and 71,826,849

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Solution

The third proportional to 47,247,474 and 71,826,849 is: 109,193,059.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,247,474 : 71,826,849 = 71,826,849 : x
  2. Step 2: Convert to fraction form
    47,247,474/71,826,849 = 71,826,849/x
  3. Step 3: Cross multiply
    47,247,474x = 71,826,849 × 71,826,849
  4. Step 4: Simplify right side
    47,247,474x = 5,159,096,237,268,801
  5. Step 5: Solve for x
    x = 5,159,096,237,268,801/47,247,474
  6. Step 6: Final answer
    x = 109,193,059.45

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Why These Related Problems?

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