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Finding the Third Proportional to 27,441,420 and 54,188,832

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Solution

The third proportional to 27,441,420 and 54,188,832 is: 107,007,199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,441,420 : 54,188,832 = 54,188,832 : x
  2. Step 2: Convert to fraction form
    27,441,420/54,188,832 = 54,188,832/x
  3. Step 3: Cross multiply
    27,441,420x = 54,188,832 × 54,188,832
  4. Step 4: Simplify right side
    27,441,420x = 2,936,429,513,524,224
  5. Step 5: Solve for x
    x = 2,936,429,513,524,224/27,441,420
  6. Step 6: Final answer
    x = 107,007,199.83

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.