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Finding the Third Proportional to 10,449,899,876 and 22,562,151,736

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Solution

The third proportional to 10,449,899,876 and 22,562,151,736 is: 48,713,451,516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449,899,876 : 22,562,151,736 = 22,562,151,736 : x
  2. Step 2: Convert to fraction form
    10,449,899,876/22,562,151,736 = 22,562,151,736/x
  3. Step 3: Cross multiply
    10,449,899,876x = 22,562,151,736 × 22,562,151,736
  4. Step 4: Simplify right side
    10,449,899,876x = 509,050,690,958,287,831,040
  5. Step 5: Solve for x
    x = 509,050,690,958,287,831,040/10,449,899,876
  6. Step 6: Final answer
    x = 48,713,451,516.16

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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.