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Finding the Third Proportional to 8,247,498 and 17,772,288

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Solution

The third proportional to 8,247,498 and 17,772,288 is: 38,296,974.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,247,498 : 17,772,288 = 17,772,288 : x
  2. Step 2: Convert to fraction form
    8,247,498/17,772,288 = 17,772,288/x
  3. Step 3: Cross multiply
    8,247,498x = 17,772,288 × 17,772,288
  4. Step 4: Simplify right side
    8,247,498x = 315,854,220,754,944
  5. Step 5: Solve for x
    x = 315,854,220,754,944/8,247,498
  6. Step 6: Final answer
    x = 38,296,974.52

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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.