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Finding the Third Proportional to 12,682,912 and 27,159,436

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Solution

The third proportional to 12,682,912 and 27,159,436 is: 58,159,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682,912 : 27,159,436 = 27,159,436 : x
  2. Step 2: Convert to fraction form
    12,682,912/27,159,436 = 27,159,436/x
  3. Step 3: Cross multiply
    12,682,912x = 27,159,436 × 27,159,436
  4. Step 4: Simplify right side
    12,682,912x = 737,634,963,838,096
  5. Step 5: Solve for x
    x = 737,634,963,838,096/12,682,912
  6. Step 6: Final answer
    x = 58,159,747.84

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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.