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Finding the Third Proportional to 3,425,768,858 and 5,451,071,704

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Solution

The third proportional to 3,425,768,858 and 5,451,071,704 is: 8,673,726,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425,768,858 : 5,451,071,704 = 5,451,071,704 : x
  2. Step 2: Convert to fraction form
    3,425,768,858/5,451,071,704 = 5,451,071,704/x
  3. Step 3: Cross multiply
    3,425,768,858x = 5,451,071,704 × 5,451,071,704
  4. Step 4: Simplify right side
    3,425,768,858x = 29,714,182,722,149,462,016
  5. Step 5: Solve for x
    x = 29,714,182,722,149,462,016/3,425,768,858
  6. Step 6: Final answer
    x = 8,673,726,673.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.