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Finding the Third Proportional to 12,874,448.25 and 27,963,234

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Solution

The third proportional to 12,874,448.25 and 27,963,234 is: 60,735,997.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874,448.25 : 27,963,234 = 27,963,234 : x
  2. Step 2: Convert to fraction form
    12,874,448.25/27,963,234 = 27,963,234/x
  3. Step 3: Cross multiply
    12,874,448.25x = 27,963,234 × 27,963,234
  4. Step 4: Simplify right side
    12,874,448.25x = 781,942,455,738,756
  5. Step 5: Solve for x
    x = 781,942,455,738,756/12,874,448.25
  6. Step 6: Final answer
    x = 60,735,997.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.