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Finding the Third Proportional to 8,294,640 and 11,861,344

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Solution

The third proportional to 8,294,640 and 11,861,344 is: 16,961,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294,640 : 11,861,344 = 11,861,344 : x
  2. Step 2: Convert to fraction form
    8,294,640/11,861,344 = 11,861,344/x
  3. Step 3: Cross multiply
    8,294,640x = 11,861,344 × 11,861,344
  4. Step 4: Simplify right side
    8,294,640x = 140,691,481,486,336
  5. Step 5: Solve for x
    x = 140,691,481,486,336/8,294,640
  6. Step 6: Final answer
    x = 16,961,734.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.