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Finding the Third Proportional to 16,823,584 and 25,207,308

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Solution

The third proportional to 16,823,584 and 25,207,308 is: 37,768,906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823,584 : 25,207,308 = 25,207,308 : x
  2. Step 2: Convert to fraction form
    16,823,584/25,207,308 = 25,207,308/x
  3. Step 3: Cross multiply
    16,823,584x = 25,207,308 × 25,207,308
  4. Step 4: Simplify right side
    16,823,584x = 635,408,376,606,864
  5. Step 5: Solve for x
    x = 635,408,376,606,864/16,823,584
  6. Step 6: Final answer
    x = 37,768,906.83

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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.