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Finding the Third Proportional to 8,188,895,656 and 17,682,656,114

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Solution

The third proportional to 8,188,895,656 and 17,682,656,114 is: 38,182,966,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188,895,656 : 17,682,656,114 = 17,682,656,114 : x
  2. Step 2: Convert to fraction form
    8,188,895,656/17,682,656,114 = 17,682,656,114/x
  3. Step 3: Cross multiply
    8,188,895,656x = 17,682,656,114 × 17,682,656,114
  4. Step 4: Simplify right side
    8,188,895,656x = 312,676,327,245,981,548,544
  5. Step 5: Solve for x
    x = 312,676,327,245,981,548,544/8,188,895,656
  6. Step 6: Final answer
    x = 38,182,966,346.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.