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Finding the Third Proportional to 6,448,959 and 15,202,206

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Solution

The third proportional to 6,448,959 and 15,202,206 is: 35,836,336.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448,959 : 15,202,206 = 15,202,206 : x
  2. Step 2: Convert to fraction form
    6,448,959/15,202,206 = 15,202,206/x
  3. Step 3: Cross multiply
    6,448,959x = 15,202,206 × 15,202,206
  4. Step 4: Simplify right side
    6,448,959x = 231,107,067,266,436
  5. Step 5: Solve for x
    x = 231,107,067,266,436/6,448,959
  6. Step 6: Final answer
    x = 35,836,336.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.