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Finding the Third Proportional to 10,974,912.75 and 23,635,486.13

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Solution

The third proportional to 10,974,912.75 and 23,635,486.13 is: 50,901,197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974,912.75 : 23,635,486.13 = 23,635,486.13 : x
  2. Step 2: Convert to fraction form
    10,974,912.75/23,635,486.13 = 23,635,486.13/x
  3. Step 3: Cross multiply
    10,974,912.75x = 23,635,486.13 × 23,635,486.13
  4. Step 4: Simplify right side
    10,974,912.75x = 558,636,204,365,067.50
  5. Step 5: Solve for x
    x = 558,636,204,365,067.50/10,974,912.75
  6. Step 6: Final answer
    x = 50,901,197.77

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.