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Finding the Third Proportional to 11,486,514 and 17,783,649

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Solution

The third proportional to 11,486,514 and 17,783,649 is: 27,532,998.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486,514 : 17,783,649 = 17,783,649 : x
  2. Step 2: Convert to fraction form
    11,486,514/17,783,649 = 17,783,649/x
  3. Step 3: Cross multiply
    11,486,514x = 17,783,649 × 17,783,649
  4. Step 4: Simplify right side
    11,486,514x = 316,258,171,755,201
  5. Step 5: Solve for x
    x = 316,258,171,755,201/11,486,514
  6. Step 6: Final answer
    x = 27,532,998.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.