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Finding the Third Proportional to 3,715,448.91 and 5,232,196.69

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Solution

The third proportional to 3,715,448.91 and 5,232,196.69 is: 7,368,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715,448.91 : 5,232,196.69 = 5,232,196.69 : x
  2. Step 2: Convert to fraction form
    3,715,448.91/5,232,196.69 = 5,232,196.69/x
  3. Step 3: Cross multiply
    3,715,448.91x = 5,232,196.69 × 5,232,196.69
  4. Step 4: Simplify right side
    3,715,448.91x = 27,375,882,176,685.97
  5. Step 5: Solve for x
    x = 27,375,882,176,685.97/3,715,448.91
  6. Step 6: Final answer
    x = 7,368,122.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.