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Finding the Third Proportional to 12,194,960 and 17,834,446

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Solution

The third proportional to 12,194,960 and 17,834,446 is: 26,081,878.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194,960 : 17,834,446 = 17,834,446 : x
  2. Step 2: Convert to fraction form
    12,194,960/17,834,446 = 17,834,446/x
  3. Step 3: Cross multiply
    12,194,960x = 17,834,446 × 17,834,446
  4. Step 4: Simplify right side
    12,194,960x = 318,067,464,126,916
  5. Step 5: Solve for x
    x = 318,067,464,126,916/12,194,960
  6. Step 6: Final answer
    x = 26,081,878.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.