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Finding the Third Proportional to 8,198,982 and 17,942,473

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Solution

The third proportional to 8,198,982 and 17,942,473 is: 39,264,915.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198,982 : 17,942,473 = 17,942,473 : x
  2. Step 2: Convert to fraction form
    8,198,982/17,942,473 = 17,942,473/x
  3. Step 3: Cross multiply
    8,198,982x = 17,942,473 × 17,942,473
  4. Step 4: Simplify right side
    8,198,982x = 321,932,337,355,729
  5. Step 5: Solve for x
    x = 321,932,337,355,729/8,198,982
  6. Step 6: Final answer
    x = 39,264,915.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.