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Finding the Third Proportional to 3,944,454,003,184 and 8,482,534,770,107

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Solution

The third proportional to 3,944,454,003,184 and 8,482,534,770,107 is: 18,241,661,854,338.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944,454,003,184 : 8,482,534,770,107 = 8,482,534,770,107 : x
  2. Step 2: Convert to fraction form
    3,944,454,003,184/8,482,534,770,107 = 8,482,534,770,107/x
  3. Step 3: Cross multiply
    3,944,454,003,184x = 8,482,534,770,107 × 8,482,534,770,107
  4. Step 4: Simplify right side
    3,944,454,003,184x = 71,953,396,126,074,219,433,820,160
  5. Step 5: Solve for x
    x = 71,953,396,126,074,219,433,820,160/3,944,454,003,184
  6. Step 6: Final answer
    x = 18,241,661,854,338.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.