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Finding the Third Proportional to 8,290,120,296 and 11,854,969,614

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Solution

The third proportional to 8,290,120,296 and 11,854,969,614 is: 16,952,746,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290,120,296 : 11,854,969,614 = 11,854,969,614 : x
  2. Step 2: Convert to fraction form
    8,290,120,296/11,854,969,614 = 11,854,969,614/x
  3. Step 3: Cross multiply
    8,290,120,296x = 11,854,969,614 × 11,854,969,614
  4. Step 4: Simplify right side
    8,290,120,296x = 140,540,304,548,863,311,872
  5. Step 5: Solve for x
    x = 140,540,304,548,863,311,872/8,290,120,296
  6. Step 6: Final answer
    x = 16,952,746,103.90

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.