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Finding the Third Proportional to 7,829,328 and 17,198,304

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Solution

The third proportional to 7,829,328 and 17,198,304 is: 37,778,677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829,328 : 17,198,304 = 17,198,304 : x
  2. Step 2: Convert to fraction form
    7,829,328/17,198,304 = 17,198,304/x
  3. Step 3: Cross multiply
    7,829,328x = 17,198,304 × 17,198,304
  4. Step 4: Simplify right side
    7,829,328x = 295,781,660,476,416
  5. Step 5: Solve for x
    x = 295,781,660,476,416/7,829,328
  6. Step 6: Final answer
    x = 37,778,677.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.