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Finding the Third Proportional to 10,449,899,880 and 22,562,151,744

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Solution

The third proportional to 10,449,899,880 and 22,562,151,744 is: 48,713,451,532.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449,899,880 : 22,562,151,744 = 22,562,151,744 : x
  2. Step 2: Convert to fraction form
    10,449,899,880/22,562,151,744 = 22,562,151,744/x
  3. Step 3: Cross multiply
    10,449,899,880x = 22,562,151,744 × 22,562,151,744
  4. Step 4: Simplify right side
    10,449,899,880x = 509,050,691,319,282,270,208
  5. Step 5: Solve for x
    x = 509,050,691,319,282,270,208/10,449,899,880
  6. Step 6: Final answer
    x = 48,713,451,532.06

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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.