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Finding the Third Proportional to 2,656,204,992 and 3,969,667,698

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Solution

The third proportional to 2,656,204,992 and 3,969,667,698 is: 5,932,622,549.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656,204,992 : 3,969,667,698 = 3,969,667,698 : x
  2. Step 2: Convert to fraction form
    2,656,204,992/3,969,667,698 = 3,969,667,698/x
  3. Step 3: Cross multiply
    2,656,204,992x = 3,969,667,698 × 3,969,667,698
  4. Step 4: Simplify right side
    2,656,204,992x = 15,758,261,632,544,618,496
  5. Step 5: Solve for x
    x = 15,758,261,632,544,618,496/2,656,204,992
  6. Step 6: Final answer
    x = 5,932,622,549.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.