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Finding the Third Proportional to 10,044,993.75 and 21,802,408.50

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Solution

The third proportional to 10,044,993.75 and 21,802,408.50 is: 47,321,584.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,044,993.75 : 21,802,408.50 = 21,802,408.50 : x
  2. Step 2: Convert to fraction form
    10,044,993.75/21,802,408.50 = 21,802,408.50/x
  3. Step 3: Cross multiply
    10,044,993.75x = 21,802,408.50 × 21,802,408.50
  4. Step 4: Simplify right side
    10,044,993.75x = 475,345,016,400,872.25
  5. Step 5: Solve for x
    x = 475,345,016,400,872.25/10,044,993.75
  6. Step 6: Final answer
    x = 47,321,584.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.