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Finding the Third Proportional to 31,314,936 and 44,098,686

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Solution

The third proportional to 31,314,936 and 44,098,686 is: 62,101,168.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,314,936 : 44,098,686 = 44,098,686 : x
  2. Step 2: Convert to fraction form
    31,314,936/44,098,686 = 44,098,686/x
  3. Step 3: Cross multiply
    31,314,936x = 44,098,686 × 44,098,686
  4. Step 4: Simplify right side
    31,314,936x = 1,944,694,106,926,596
  5. Step 5: Solve for x
    x = 1,944,694,106,926,596/31,314,936
  6. Step 6: Final answer
    x = 62,101,168.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.