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Finding the Third Proportional to 8,188,141.50 and 17,829,423

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Solution

The third proportional to 8,188,141.50 and 17,829,423 is: 38,823,013.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188,141.50 : 17,829,423 = 17,829,423 : x
  2. Step 2: Convert to fraction form
    8,188,141.50/17,829,423 = 17,829,423/x
  3. Step 3: Cross multiply
    8,188,141.50x = 17,829,423 × 17,829,423
  4. Step 4: Simplify right side
    8,188,141.50x = 317,888,324,512,929
  5. Step 5: Solve for x
    x = 317,888,324,512,929/8,188,141.50
  6. Step 6: Final answer
    x = 38,823,013.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.