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Finding the Third Proportional to 3,944,454,003,169 and 8,482,534,770,076.50

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Solution

The third proportional to 3,944,454,003,169 and 8,482,534,770,076.50 is: 18,241,661,854,276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944,454,003,169 : 8,482,534,770,076.50 = 8,482,534,770,076.50 : x
  2. Step 2: Convert to fraction form
    3,944,454,003,169/8,482,534,770,076.50 = 8,482,534,770,076.50/x
  3. Step 3: Cross multiply
    3,944,454,003,169x = 8,482,534,770,076.50 × 8,482,534,770,076.50
  4. Step 4: Simplify right side
    3,944,454,003,169x = 71,953,396,125,556,778,953,867,264
  5. Step 5: Solve for x
    x = 71,953,396,125,556,778,953,867,264/3,944,454,003,169
  6. Step 6: Final answer
    x = 18,241,661,854,276.65

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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.