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Finding the Third Proportional to 8,192,384 and 17,640,320

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Solution

The third proportional to 8,192,384 and 17,640,320 is: 37,984,167.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192,384 : 17,640,320 = 17,640,320 : x
  2. Step 2: Convert to fraction form
    8,192,384/17,640,320 = 17,640,320/x
  3. Step 3: Cross multiply
    8,192,384x = 17,640,320 × 17,640,320
  4. Step 4: Simplify right side
    8,192,384x = 311,180,889,702,400
  5. Step 5: Solve for x
    x = 311,180,889,702,400/8,192,384
  6. Step 6: Final answer
    x = 37,984,167.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.