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Finding the Third Proportional to 30,882,041 and 41,171,218

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Solution

The third proportional to 30,882,041 and 41,171,218 is: 54,888,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,882,041 : 41,171,218 = 41,171,218 : x
  2. Step 2: Convert to fraction form
    30,882,041/41,171,218 = 41,171,218/x
  3. Step 3: Cross multiply
    30,882,041x = 41,171,218 × 41,171,218
  4. Step 4: Simplify right side
    30,882,041x = 1,695,069,191,603,524
  5. Step 5: Solve for x
    x = 1,695,069,191,603,524/30,882,041
  6. Step 6: Final answer
    x = 54,888,509.20

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.