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Finding the Third Proportional to 4,193,735 and 9,172,474

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Solution

The third proportional to 4,193,735 and 9,172,474 is: 20,061,896.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193,735 : 9,172,474 = 9,172,474 : x
  2. Step 2: Convert to fraction form
    4,193,735/9,172,474 = 9,172,474/x
  3. Step 3: Cross multiply
    4,193,735x = 9,172,474 × 9,172,474
  4. Step 4: Simplify right side
    4,193,735x = 84,134,279,280,676
  5. Step 5: Solve for x
    x = 84,134,279,280,676/4,193,735
  6. Step 6: Final answer
    x = 20,061,896.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.