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Finding the Third Proportional to 30,882,049 and 41,171,230

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Solution

The third proportional to 30,882,049 and 41,171,230 is: 54,888,526.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,882,049 : 41,171,230 = 41,171,230 : x
  2. Step 2: Convert to fraction form
    30,882,049/41,171,230 = 41,171,230/x
  3. Step 3: Cross multiply
    30,882,049x = 41,171,230 × 41,171,230
  4. Step 4: Simplify right side
    30,882,049x = 1,695,070,179,712,900
  5. Step 5: Solve for x
    x = 1,695,070,179,712,900/30,882,049
  6. Step 6: Final answer
    x = 54,888,526.98

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