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Finding the Third Proportional to 10,449,899,872 and 22,562,151,728

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Solution

The third proportional to 10,449,899,872 and 22,562,151,728 is: 48,713,451,500.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449,899,872 : 22,562,151,728 = 22,562,151,728 : x
  2. Step 2: Convert to fraction form
    10,449,899,872/22,562,151,728 = 22,562,151,728/x
  3. Step 3: Cross multiply
    10,449,899,872x = 22,562,151,728 × 22,562,151,728
  4. Step 4: Simplify right side
    10,449,899,872x = 509,050,690,597,293,391,872
  5. Step 5: Solve for x
    x = 509,050,690,597,293,391,872/10,449,899,872
  6. Step 6: Final answer
    x = 48,713,451,500.26

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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.