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Finding the Third Proportional to 3,431,576 and 6,777,040

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Solution

The third proportional to 3,431,576 and 6,777,040 is: 13,384,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431,576 : 6,777,040 = 6,777,040 : x
  2. Step 2: Convert to fraction form
    3,431,576/6,777,040 = 6,777,040/x
  3. Step 3: Cross multiply
    3,431,576x = 6,777,040 × 6,777,040
  4. Step 4: Simplify right side
    3,431,576x = 45,928,271,161,600
  5. Step 5: Solve for x
    x = 45,928,271,161,600/3,431,576
  6. Step 6: Final answer
    x = 13,384,016.90

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.