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Finding the Third Proportional to 3,868,186,819,849.20 and 8,279,761,964,794

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Solution

The third proportional to 3,868,186,819,849.20 and 8,279,761,964,794 is: 17,722,633,726,444.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868,186,819,849.20 : 8,279,761,964,794 = 8,279,761,964,794 : x
  2. Step 2: Convert to fraction form
    3,868,186,819,849.20/8,279,761,964,794 = 8,279,761,964,794/x
  3. Step 3: Cross multiply
    3,868,186,819,849.20x = 8,279,761,964,794 × 8,279,761,964,794
  4. Step 4: Simplify right side
    3,868,186,819,849.20x = 68,554,458,193,649,398,034,989,056
  5. Step 5: Solve for x
    x = 68,554,458,193,649,398,034,989,056/3,868,186,819,849.20
  6. Step 6: Final answer
    x = 17,722,633,726,444.98

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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.