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Finding the Third Proportional to 6,112,854,500 and 9,175,751,769

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Solution

The third proportional to 6,112,854,500 and 9,175,751,769 is: 13,773,339,530.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112,854,500 : 9,175,751,769 = 9,175,751,769 : x
  2. Step 2: Convert to fraction form
    6,112,854,500/9,175,751,769 = 9,175,751,769/x
  3. Step 3: Cross multiply
    6,112,854,500x = 9,175,751,769 × 9,175,751,769
  4. Step 4: Simplify right side
    6,112,854,500x = 84,194,420,526,306,623,488
  5. Step 5: Solve for x
    x = 84,194,420,526,306,623,488/6,112,854,500
  6. Step 6: Final answer
    x = 13,773,339,530.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.