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Finding the Third Proportional to 3,868,186,819,851 and 8,279,761,964,798

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Solution

The third proportional to 3,868,186,819,851 and 8,279,761,964,798 is: 17,722,633,726,453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868,186,819,851 : 8,279,761,964,798 = 8,279,761,964,798 : x
  2. Step 2: Convert to fraction form
    3,868,186,819,851/8,279,761,964,798 = 8,279,761,964,798/x
  3. Step 3: Cross multiply
    3,868,186,819,851x = 8,279,761,964,798 × 8,279,761,964,798
  4. Step 4: Simplify right side
    3,868,186,819,851x = 68,554,458,193,715,635,020,627,968
  5. Step 5: Solve for x
    x = 68,554,458,193,715,635,020,627,968/3,868,186,819,851
  6. Step 6: Final answer
    x = 17,722,633,726,453.86

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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.