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Finding the Third Proportional to 3,037,919 and 7,171,295

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Solution

The third proportional to 3,037,919 and 7,171,295 is: 16,928,519.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037,919 : 7,171,295 = 7,171,295 : x
  2. Step 2: Convert to fraction form
    3,037,919/7,171,295 = 7,171,295/x
  3. Step 3: Cross multiply
    3,037,919x = 7,171,295 × 7,171,295
  4. Step 4: Simplify right side
    3,037,919x = 51,427,471,977,025
  5. Step 5: Solve for x
    x = 51,427,471,977,025/3,037,919
  6. Step 6: Final answer
    x = 16,928,519.81

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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.