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Finding the Third Proportional to 275,757,698 and 419,366,163

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Solution

The third proportional to 275,757,698 and 419,366,163 is: 637,762,716.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,757,698 : 419,366,163 = 419,366,163 : x
  2. Step 2: Convert to fraction form
    275,757,698/419,366,163 = 419,366,163/x
  3. Step 3: Cross multiply
    275,757,698x = 419,366,163 × 419,366,163
  4. Step 4: Simplify right side
    275,757,698x = 175,867,978,669,342,560
  5. Step 5: Solve for x
    x = 175,867,978,669,342,560/275,757,698
  6. Step 6: Final answer
    x = 637,762,716.85

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.