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Finding the Third Proportional to 4,188,179,102 and 6,493,915,892

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Solution

The third proportional to 4,188,179,102 and 6,493,915,892 is: 10,069,040,168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188,179,102 : 6,493,915,892 = 6,493,915,892 : x
  2. Step 2: Convert to fraction form
    4,188,179,102/6,493,915,892 = 6,493,915,892/x
  3. Step 3: Cross multiply
    4,188,179,102x = 6,493,915,892 × 6,493,915,892
  4. Step 4: Simplify right side
    4,188,179,102x = 42,170,943,612,370,157,568
  5. Step 5: Solve for x
    x = 42,170,943,612,370,157,568/4,188,179,102
  6. Step 6: Final answer
    x = 10,069,040,168.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.