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Finding the Third Proportional to 4,424,340,373 and 9,479,751,762

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Solution

The third proportional to 4,424,340,373 and 9,479,751,762 is: 20,311,659,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,424,340,373 : 9,479,751,762 = 9,479,751,762 : x
  2. Step 2: Convert to fraction form
    4,424,340,373/9,479,751,762 = 9,479,751,762/x
  3. Step 3: Cross multiply
    4,424,340,373x = 9,479,751,762 × 9,479,751,762
  4. Step 4: Simplify right side
    4,424,340,373x = 89,865,693,469,142,106,112
  5. Step 5: Solve for x
    x = 89,865,693,469,142,106,112/4,424,340,373
  6. Step 6: Final answer
    x = 20,311,659,115.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.