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Finding the Third Proportional to 2,049,670,906,847 and 4,268,991,864,172

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Solution

The third proportional to 2,049,670,906,847 and 4,268,991,864,172 is: 8,891,325,663,787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,670,906,847 : 4,268,991,864,172 = 4,268,991,864,172 : x
  2. Step 2: Convert to fraction form
    2,049,670,906,847/4,268,991,864,172 = 4,268,991,864,172/x
  3. Step 3: Cross multiply
    2,049,670,906,847x = 4,268,991,864,172 × 4,268,991,864,172
  4. Step 4: Simplify right side
    2,049,670,906,847x = 18,224,291,536,366,728,395,096,064
  5. Step 5: Solve for x
    x = 18,224,291,536,366,728,395,096,064/2,049,670,906,847
  6. Step 6: Final answer
    x = 8,891,325,663,787.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.