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Finding the Third Proportional to 8,295,225 and 17,252,625

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Solution

The third proportional to 8,295,225 and 17,252,625 is: 35,882,458.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295,225 : 17,252,625 = 17,252,625 : x
  2. Step 2: Convert to fraction form
    8,295,225/17,252,625 = 17,252,625/x
  3. Step 3: Cross multiply
    8,295,225x = 17,252,625 × 17,252,625
  4. Step 4: Simplify right side
    8,295,225x = 297,653,069,390,625
  5. Step 5: Solve for x
    x = 297,653,069,390,625/8,295,225
  6. Step 6: Final answer
    x = 35,882,458.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.