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Finding the Third Proportional to 3,667,125 and 7,965,321

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Solution

The third proportional to 3,667,125 and 7,965,321 is: 17,301,384.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667,125 : 7,965,321 = 7,965,321 : x
  2. Step 2: Convert to fraction form
    3,667,125/7,965,321 = 7,965,321/x
  3. Step 3: Cross multiply
    3,667,125x = 7,965,321 × 7,965,321
  4. Step 4: Simplify right side
    3,667,125x = 63,446,338,633,041
  5. Step 5: Solve for x
    x = 63,446,338,633,041/3,667,125
  6. Step 6: Final answer
    x = 17,301,384.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.