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Finding the Third Proportional to 18,751,743,338,112 and 40,619,446,112,277

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Solution

The third proportional to 18,751,743,338,112 and 40,619,446,112,277 is: 87,988,587,125,910.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,751,743,338,112 : 40,619,446,112,277 = 40,619,446,112,277 : x
  2. Step 2: Convert to fraction form
    18,751,743,338,112/40,619,446,112,277 = 40,619,446,112,277/x
  3. Step 3: Cross multiply
    18,751,743,338,112x = 40,619,446,112,277 × 40,619,446,112,277
  4. Step 4: Simplify right side
    18,751,743,338,112x = 1,649,939,402,468,175,012,471,767,040
  5. Step 5: Solve for x
    x = 1,649,939,402,468,175,012,471,767,040/18,751,743,338,112
  6. Step 6: Final answer
    x = 87,988,587,125,910.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.