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Finding the Third Proportional to 11,186,540,847 and 24,235,016,598

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Solution

The third proportional to 11,186,540,847 and 24,235,016,598 is: 52,503,811,279.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186,540,847 : 24,235,016,598 = 24,235,016,598 : x
  2. Step 2: Convert to fraction form
    11,186,540,847/24,235,016,598 = 24,235,016,598/x
  3. Step 3: Cross multiply
    11,186,540,847x = 24,235,016,598 × 24,235,016,598
  4. Step 4: Simplify right side
    11,186,540,847x = 587,336,029,505,335,525,376
  5. Step 5: Solve for x
    x = 587,336,029,505,335,525,376/11,186,540,847
  6. Step 6: Final answer
    x = 52,503,811,279.86

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Why These Related Problems?

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