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Finding the Third Proportional to 9,654,894 and 20,103,425

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Solution

The third proportional to 9,654,894 and 20,103,425 is: 41,859,361.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654,894 : 20,103,425 = 20,103,425 : x
  2. Step 2: Convert to fraction form
    9,654,894/20,103,425 = 20,103,425/x
  3. Step 3: Cross multiply
    9,654,894x = 20,103,425 × 20,103,425
  4. Step 4: Simplify right side
    9,654,894x = 404,147,696,730,625
  5. Step 5: Solve for x
    x = 404,147,696,730,625/9,654,894
  6. Step 6: Final answer
    x = 41,859,361.35

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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.