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Finding the Third Proportional to 16,823,580 and 25,207,302

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Solution

The third proportional to 16,823,580 and 25,207,302 is: 37,768,897.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823,580 : 25,207,302 = 25,207,302 : x
  2. Step 2: Convert to fraction form
    16,823,580/25,207,302 = 25,207,302/x
  3. Step 3: Cross multiply
    16,823,580x = 25,207,302 × 25,207,302
  4. Step 4: Simplify right side
    16,823,580x = 635,408,074,119,204
  5. Step 5: Solve for x
    x = 635,408,074,119,204/16,823,580
  6. Step 6: Final answer
    x = 37,768,897.83

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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.