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Finding the Third Proportional to 5,149,714,544 and 11,122,690,084

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Solution

The third proportional to 5,149,714,544 and 11,122,690,084 is: 24,023,513,079.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149,714,544 : 11,122,690,084 = 11,122,690,084 : x
  2. Step 2: Convert to fraction form
    5,149,714,544/11,122,690,084 = 11,122,690,084/x
  3. Step 3: Cross multiply
    5,149,714,544x = 11,122,690,084 × 11,122,690,084
  4. Step 4: Simplify right side
    5,149,714,544x = 123,714,234,704,711,925,760
  5. Step 5: Solve for x
    x = 123,714,234,704,711,925,760/5,149,714,544
  6. Step 6: Final answer
    x = 24,023,513,079.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.