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Finding the Third Proportional to 5,442,761,549,217 and 11,661,858,709,008

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Solution

The third proportional to 5,442,761,549,217 and 11,661,858,709,008 is: 24,987,122,312,648.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442,761,549,217 : 11,661,858,709,008 = 11,661,858,709,008 : x
  2. Step 2: Convert to fraction form
    5,442,761,549,217/11,661,858,709,008 = 11,661,858,709,008/x
  3. Step 3: Cross multiply
    5,442,761,549,217x = 11,661,858,709,008 × 11,661,858,709,008
  4. Step 4: Simplify right side
    5,442,761,549,217x = 135,998,948,548,865,734,914,080,768
  5. Step 5: Solve for x
    x = 135,998,948,548,865,734,914,080,768/5,442,761,549,217
  6. Step 6: Final answer
    x = 24,987,122,312,648.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.