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Finding the Third Proportional to 17,667,963 and 38,172,701

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Solution

The third proportional to 17,667,963 and 38,172,701 is: 82,474,425.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667,963 : 38,172,701 = 38,172,701 : x
  2. Step 2: Convert to fraction form
    17,667,963/38,172,701 = 38,172,701/x
  3. Step 3: Cross multiply
    17,667,963x = 38,172,701 × 38,172,701
  4. Step 4: Simplify right side
    17,667,963x = 1,457,155,101,635,401
  5. Step 5: Solve for x
    x = 1,457,155,101,635,401/17,667,963
  6. Step 6: Final answer
    x = 82,474,425.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.