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Finding the Third Proportional to 4,933,498 and 11,885,349

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Solution

The third proportional to 4,933,498 and 11,885,349 is: 28,633,136.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933,498 : 11,885,349 = 11,885,349 : x
  2. Step 2: Convert to fraction form
    4,933,498/11,885,349 = 11,885,349/x
  3. Step 3: Cross multiply
    4,933,498x = 11,885,349 × 11,885,349
  4. Step 4: Simplify right side
    4,933,498x = 141,261,520,851,801
  5. Step 5: Solve for x
    x = 141,261,520,851,801/4,933,498
  6. Step 6: Final answer
    x = 28,633,136.34

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.