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Finding the Third Proportional to 10,233,563.25 and 22,389,863.75

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Solution

The third proportional to 10,233,563.25 and 22,389,863.75 is: 48,986,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233,563.25 : 22,389,863.75 = 22,389,863.75 : x
  2. Step 2: Convert to fraction form
    10,233,563.25/22,389,863.75 = 22,389,863.75/x
  3. Step 3: Cross multiply
    10,233,563.25x = 22,389,863.75 × 22,389,863.75
  4. Step 4: Simplify right side
    10,233,563.25x = 501,305,998,743,564.06
  5. Step 5: Solve for x
    x = 501,305,998,743,564.06/10,233,563.25
  6. Step 6: Final answer
    x = 48,986,456.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.