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Finding the Third Proportional to 10,449,899,874 and 22,562,151,732

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Solution

The third proportional to 10,449,899,874 and 22,562,151,732 is: 48,713,451,508.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449,899,874 : 22,562,151,732 = 22,562,151,732 : x
  2. Step 2: Convert to fraction form
    10,449,899,874/22,562,151,732 = 22,562,151,732/x
  3. Step 3: Cross multiply
    10,449,899,874x = 22,562,151,732 × 22,562,151,732
  4. Step 4: Simplify right side
    10,449,899,874x = 509,050,690,777,790,611,456
  5. Step 5: Solve for x
    x = 509,050,690,777,790,611,456/10,449,899,874
  6. Step 6: Final answer
    x = 48,713,451,508.21

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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.