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Finding the Third Proportional to 31,001,073 and 66,740,828

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Solution

The third proportional to 31,001,073 and 66,740,828 is: 143,683,353.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,001,073 : 66,740,828 = 66,740,828 : x
  2. Step 2: Convert to fraction form
    31,001,073/66,740,828 = 66,740,828/x
  3. Step 3: Cross multiply
    31,001,073x = 66,740,828 × 66,740,828
  4. Step 4: Simplify right side
    31,001,073x = 4,454,338,122,125,584
  5. Step 5: Solve for x
    x = 4,454,338,122,125,584/31,001,073
  6. Step 6: Final answer
    x = 143,683,353.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.