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Finding the Third Proportional to 31,869,523.50 and 70,438,107

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Solution

The third proportional to 31,869,523.50 and 70,438,107 is: 155,682,494.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,869,523.50 : 70,438,107 = 70,438,107 : x
  2. Step 2: Convert to fraction form
    31,869,523.50/70,438,107 = 70,438,107/x
  3. Step 3: Cross multiply
    31,869,523.50x = 70,438,107 × 70,438,107
  4. Step 4: Simplify right side
    31,869,523.50x = 4,961,526,917,743,449
  5. Step 5: Solve for x
    x = 4,961,526,917,743,449/31,869,523.50
  6. Step 6: Final answer
    x = 155,682,494.52

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.