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Finding the Third Proportional to 6,112,854,498 and 9,175,751,766

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Solution

The third proportional to 6,112,854,498 and 9,175,751,766 is: 13,773,339,525.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112,854,498 : 9,175,751,766 = 9,175,751,766 : x
  2. Step 2: Convert to fraction form
    6,112,854,498/9,175,751,766 = 9,175,751,766/x
  3. Step 3: Cross multiply
    6,112,854,498x = 9,175,751,766 × 9,175,751,766
  4. Step 4: Simplify right side
    6,112,854,498x = 84,194,420,471,252,123,648
  5. Step 5: Solve for x
    x = 84,194,420,471,252,123,648/6,112,854,498
  6. Step 6: Final answer
    x = 13,773,339,525.55

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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.