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Finding the Third Proportional to 3,642,442,947,667 and 8,099,284,150,163

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Solution

The third proportional to 3,642,442,947,667 and 8,099,284,150,163 is: 18,009,452,635,928.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642,442,947,667 : 8,099,284,150,163 = 8,099,284,150,163 : x
  2. Step 2: Convert to fraction form
    3,642,442,947,667/8,099,284,150,163 = 8,099,284,150,163/x
  3. Step 3: Cross multiply
    3,642,442,947,667x = 8,099,284,150,163 × 8,099,284,150,163
  4. Step 4: Simplify right side
    3,642,442,947,667x = 65,598,403,745,081,587,419,578,368
  5. Step 5: Solve for x
    x = 65,598,403,745,081,587,419,578,368/3,642,442,947,667
  6. Step 6: Final answer
    x = 18,009,452,635,928.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.