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Finding the Third Proportional to 687,751,956 and 1,510,614,741

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Solution

The third proportional to 687,751,956 and 1,510,614,741 is: 3,317,994,046.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,751,956 : 1,510,614,741 = 1,510,614,741 : x
  2. Step 2: Convert to fraction form
    687,751,956/1,510,614,741 = 1,510,614,741/x
  3. Step 3: Cross multiply
    687,751,956x = 1,510,614,741 × 1,510,614,741
  4. Step 4: Simplify right side
    687,751,956x = 2,281,956,895,726,497,024
  5. Step 5: Solve for x
    x = 2,281,956,895,726,497,024/687,751,956
  6. Step 6: Final answer
    x = 3,317,994,046.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.