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Finding the Third Proportional to 7,609,328 and 16,296,067

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Solution

The third proportional to 7,609,328 and 16,296,067 is: 34,899,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609,328 : 16,296,067 = 16,296,067 : x
  2. Step 2: Convert to fraction form
    7,609,328/16,296,067 = 16,296,067/x
  3. Step 3: Cross multiply
    7,609,328x = 16,296,067 × 16,296,067
  4. Step 4: Simplify right side
    7,609,328x = 265,561,799,668,489
  5. Step 5: Solve for x
    x = 265,561,799,668,489/7,609,328
  6. Step 6: Final answer
    x = 34,899,507.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.