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Finding the Third Proportional to 7,750,253.25 and 16,685,172

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Solution

The third proportional to 7,750,253.25 and 16,685,172 is: 35,920,757.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750,253.25 : 16,685,172 = 16,685,172 : x
  2. Step 2: Convert to fraction form
    7,750,253.25/16,685,172 = 16,685,172/x
  3. Step 3: Cross multiply
    7,750,253.25x = 16,685,172 × 16,685,172
  4. Step 4: Simplify right side
    7,750,253.25x = 278,394,964,669,584
  5. Step 5: Solve for x
    x = 278,394,964,669,584/7,750,253.25
  6. Step 6: Final answer
    x = 35,920,757.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.