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Finding the Third Proportional to 20,441,008.13 and 31,419,231.75

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Solution

The third proportional to 20,441,008.13 and 31,419,231.75 is: 48,293,514.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,441,008.13 : 31,419,231.75 = 31,419,231.75 : x
  2. Step 2: Convert to fraction form
    20,441,008.13/31,419,231.75 = 31,419,231.75/x
  3. Step 3: Cross multiply
    20,441,008.13x = 31,419,231.75 × 31,419,231.75
  4. Step 4: Simplify right side
    20,441,008.13x = 987,168,123,760,208
  5. Step 5: Solve for x
    x = 987,168,123,760,208/20,441,008.13
  6. Step 6: Final answer
    x = 48,293,514.57

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.