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Finding the Third Proportional to 30,882,045 and 41,171,224.50

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Solution

The third proportional to 30,882,045 and 41,171,224.50 is: 54,888,519.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,882,045 : 41,171,224.50 = 41,171,224.50 : x
  2. Step 2: Convert to fraction form
    30,882,045/41,171,224.50 = 41,171,224.50/x
  3. Step 3: Cross multiply
    30,882,045x = 41,171,224.50 × 41,171,224.50
  4. Step 4: Simplify right side
    30,882,045x = 1,695,069,726,829,400.25
  5. Step 5: Solve for x
    x = 1,695,069,726,829,400.25/30,882,045
  6. Step 6: Final answer
    x = 54,888,519.42

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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.