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Finding the Third Proportional to 1,413,679,491 and 2,277,814,250

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Solution

The third proportional to 1,413,679,491 and 2,277,814,250 is: 3,670,165,543.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413,679,491 : 2,277,814,250 = 2,277,814,250 : x
  2. Step 2: Convert to fraction form
    1,413,679,491/2,277,814,250 = 2,277,814,250/x
  3. Step 3: Cross multiply
    1,413,679,491x = 2,277,814,250 × 2,277,814,250
  4. Step 4: Simplify right side
    1,413,679,491x = 5,188,437,757,503,062,016
  5. Step 5: Solve for x
    x = 5,188,437,757,503,062,016/1,413,679,491
  6. Step 6: Final answer
    x = 3,670,165,543.56

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.