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Finding the Third Proportional to 3,427,239 and 7,444,464

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Solution

The third proportional to 3,427,239 and 7,444,464 is: 16,170,463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427,239 : 7,444,464 = 7,444,464 : x
  2. Step 2: Convert to fraction form
    3,427,239/7,444,464 = 7,444,464/x
  3. Step 3: Cross multiply
    3,427,239x = 7,444,464 × 7,444,464
  4. Step 4: Simplify right side
    3,427,239x = 55,420,044,247,296
  5. Step 5: Solve for x
    x = 55,420,044,247,296/3,427,239
  6. Step 6: Final answer
    x = 16,170,463.82

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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.