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Finding the Third Proportional to 27,078,381 and 57,145,661

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Solution

The third proportional to 27,078,381 and 57,145,661 is: 120,599,033.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,078,381 : 57,145,661 = 57,145,661 : x
  2. Step 2: Convert to fraction form
    27,078,381/57,145,661 = 57,145,661/x
  3. Step 3: Cross multiply
    27,078,381x = 57,145,661 × 57,145,661
  4. Step 4: Simplify right side
    27,078,381x = 3,265,626,571,126,921
  5. Step 5: Solve for x
    x = 3,265,626,571,126,921/27,078,381
  6. Step 6: Final answer
    x = 120,599,033.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.