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Finding the Third Proportional to 9,131,894 and 19,019,398

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Solution

The third proportional to 9,131,894 and 19,019,398 is: 39,612,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131,894 : 19,019,398 = 19,019,398 : x
  2. Step 2: Convert to fraction form
    9,131,894/19,019,398 = 19,019,398/x
  3. Step 3: Cross multiply
    9,131,894x = 19,019,398 × 19,019,398
  4. Step 4: Simplify right side
    9,131,894x = 361,737,500,282,404
  5. Step 5: Solve for x
    x = 361,737,500,282,404/9,131,894
  6. Step 6: Final answer
    x = 39,612,538.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.