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Finding the Third Proportional to 5,325,682.50 and 11,647,806.75

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Solution

The third proportional to 5,325,682.50 and 11,647,806.75 is: 25,474,932.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325,682.50 : 11,647,806.75 = 11,647,806.75 : x
  2. Step 2: Convert to fraction form
    5,325,682.50/11,647,806.75 = 11,647,806.75/x
  3. Step 3: Cross multiply
    5,325,682.50x = 11,647,806.75 × 11,647,806.75
  4. Step 4: Simplify right side
    5,325,682.50x = 135,671,402,085,345.56
  5. Step 5: Solve for x
    x = 135,671,402,085,345.56/5,325,682.50
  6. Step 6: Final answer
    x = 25,474,932.48

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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.