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Finding the Third Proportional to 8,747,757 and 12,313,296

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Solution

The third proportional to 8,747,757 and 12,313,296 is: 17,332,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,747,757 : 12,313,296 = 12,313,296 : x
  2. Step 2: Convert to fraction form
    8,747,757/12,313,296 = 12,313,296/x
  3. Step 3: Cross multiply
    8,747,757x = 12,313,296 × 12,313,296
  4. Step 4: Simplify right side
    8,747,757x = 151,617,258,383,616
  5. Step 5: Solve for x
    x = 151,617,258,383,616/8,747,757
  6. Step 6: Final answer
    x = 17,332,129.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.