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Finding the Third Proportional to 5,442,761,549,241 and 11,661,858,709,056

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Solution

The third proportional to 5,442,761,549,241 and 11,661,858,709,056 is: 24,987,122,312,744.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442,761,549,241 : 11,661,858,709,056 = 11,661,858,709,056 : x
  2. Step 2: Convert to fraction form
    5,442,761,549,241/11,661,858,709,056 = 11,661,858,709,056/x
  3. Step 3: Cross multiply
    5,442,761,549,241x = 11,661,858,709,056 × 11,661,858,709,056
  4. Step 4: Simplify right side
    5,442,761,549,241x = 135,998,948,549,985,278,269,325,312
  5. Step 5: Solve for x
    x = 135,998,948,549,985,278,269,325,312/5,442,761,549,241
  6. Step 6: Final answer
    x = 24,987,122,312,744.07

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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.