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Finding the Third Proportional to 10,824,850.50 and 23,555,412

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Solution

The third proportional to 10,824,850.50 and 23,555,412 is: 51,257,745.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824,850.50 : 23,555,412 = 23,555,412 : x
  2. Step 2: Convert to fraction form
    10,824,850.50/23,555,412 = 23,555,412/x
  3. Step 3: Cross multiply
    10,824,850.50x = 23,555,412 × 23,555,412
  4. Step 4: Simplify right side
    10,824,850.50x = 554,857,434,489,744
  5. Step 5: Solve for x
    x = 554,857,434,489,744/10,824,850.50
  6. Step 6: Final answer
    x = 51,257,745.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.