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Finding the Third Proportional to 49,767,648 and 71,167,822

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Solution

The third proportional to 49,767,648 and 71,167,822 is: 101,770,107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,767,648 : 71,167,822 = 71,167,822 : x
  2. Step 2: Convert to fraction form
    49,767,648/71,167,822 = 71,167,822/x
  3. Step 3: Cross multiply
    49,767,648x = 71,167,822 × 71,167,822
  4. Step 4: Simplify right side
    49,767,648x = 5,064,858,888,223,684
  5. Step 5: Solve for x
    x = 5,064,858,888,223,684/49,767,648
  6. Step 6: Final answer
    x = 101,770,107.52

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.