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Finding the Third Proportional to 16,823,586 and 25,207,311

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Solution

The third proportional to 16,823,586 and 25,207,311 is: 37,768,911.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823,586 : 25,207,311 = 25,207,311 : x
  2. Step 2: Convert to fraction form
    16,823,586/25,207,311 = 25,207,311/x
  3. Step 3: Cross multiply
    16,823,586x = 25,207,311 × 25,207,311
  4. Step 4: Simplify right side
    16,823,586x = 635,408,527,850,721
  5. Step 5: Solve for x
    x = 635,408,527,850,721/16,823,586
  6. Step 6: Final answer
    x = 37,768,911.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.