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Finding the Third Proportional to 31,037,952 and 73,165,087

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Solution

The third proportional to 31,037,952 and 73,165,087 is: 172,470,463.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,037,952 : 73,165,087 = 73,165,087 : x
  2. Step 2: Convert to fraction form
    31,037,952/73,165,087 = 73,165,087/x
  3. Step 3: Cross multiply
    31,037,952x = 73,165,087 × 73,165,087
  4. Step 4: Simplify right side
    31,037,952x = 5,353,129,955,717,569
  5. Step 5: Solve for x
    x = 5,353,129,955,717,569/31,037,952
  6. Step 6: Final answer
    x = 172,470,463.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.