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Finding the Third Proportional to 12,198,125.25 and 17,889,774.75

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Solution

The third proportional to 12,198,125.25 and 17,889,774.75 is: 26,237,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198,125.25 : 17,889,774.75 = 17,889,774.75 : x
  2. Step 2: Convert to fraction form
    12,198,125.25/17,889,774.75 = 17,889,774.75/x
  3. Step 3: Cross multiply
    12,198,125.25x = 17,889,774.75 × 17,889,774.75
  4. Step 4: Simplify right side
    12,198,125.25x = 320,044,040,605,737.56
  5. Step 5: Solve for x
    x = 320,044,040,605,737.56/12,198,125.25
  6. Step 6: Final answer
    x = 26,237,149.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.