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Finding the Third Proportional to 3,425,768,849 and 5,451,071,691

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Solution

The third proportional to 3,425,768,849 and 5,451,071,691 is: 8,673,726,655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425,768,849 : 5,451,071,691 = 5,451,071,691 : x
  2. Step 2: Convert to fraction form
    3,425,768,849/5,451,071,691 = 5,451,071,691/x
  3. Step 3: Cross multiply
    3,425,768,849x = 5,451,071,691 × 5,451,071,691
  4. Step 4: Simplify right side
    3,425,768,849x = 29,714,182,580,421,599,232
  5. Step 5: Solve for x
    x = 29,714,182,580,421,599,232/3,425,768,849
  6. Step 6: Final answer
    x = 8,673,726,655.29

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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.