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Finding the Third Proportional to 31,839,282 and 50,497,398

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Solution

The third proportional to 31,839,282 and 50,497,398 is: 80,089,343.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,839,282 : 50,497,398 = 50,497,398 : x
  2. Step 2: Convert to fraction form
    31,839,282/50,497,398 = 50,497,398/x
  3. Step 3: Cross multiply
    31,839,282x = 50,497,398 × 50,497,398
  4. Step 4: Simplify right side
    31,839,282x = 2,549,987,204,770,404
  5. Step 5: Solve for x
    x = 2,549,987,204,770,404/31,839,282
  6. Step 6: Final answer
    x = 80,089,343.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.