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Finding the Third Proportional to 7,987,302 and 17,467,596

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Solution

The third proportional to 7,987,302 and 17,467,596 is: 38,200,247.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987,302 : 17,467,596 = 17,467,596 : x
  2. Step 2: Convert to fraction form
    7,987,302/17,467,596 = 17,467,596/x
  3. Step 3: Cross multiply
    7,987,302x = 17,467,596 × 17,467,596
  4. Step 4: Simplify right side
    7,987,302x = 305,116,910,019,216
  5. Step 5: Solve for x
    x = 305,116,910,019,216/7,987,302
  6. Step 6: Final answer
    x = 38,200,247.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.