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Finding the Third Proportional to 27,441,396 and 54,188,784

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Solution

The third proportional to 27,441,396 and 54,188,784 is: 107,007,103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,441,396 : 54,188,784 = 54,188,784 : x
  2. Step 2: Convert to fraction form
    27,441,396/54,188,784 = 54,188,784/x
  3. Step 3: Cross multiply
    27,441,396x = 54,188,784 × 54,188,784
  4. Step 4: Simplify right side
    27,441,396x = 2,936,424,311,398,656
  5. Step 5: Solve for x
    x = 2,936,424,311,398,656/27,441,396
  6. Step 6: Final answer
    x = 107,007,103.84

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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.