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Finding the Third Proportional to 31,984,467 and 49,131,619

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Solution

The third proportional to 31,984,467 and 49,131,619 is: 75,471,508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,984,467 : 49,131,619 = 49,131,619 : x
  2. Step 2: Convert to fraction form
    31,984,467/49,131,619 = 49,131,619/x
  3. Step 3: Cross multiply
    31,984,467x = 49,131,619 × 49,131,619
  4. Step 4: Simplify right side
    31,984,467x = 2,413,915,985,561,161
  5. Step 5: Solve for x
    x = 2,413,915,985,561,161/31,984,467
  6. Step 6: Final answer
    x = 75,471,508.89

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.