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Finding the Third Proportional to 10,993,924.50 and 23,691,850.50

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Solution

The third proportional to 10,993,924.50 and 23,691,850.50 is: 51,055,815.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993,924.50 : 23,691,850.50 = 23,691,850.50 : x
  2. Step 2: Convert to fraction form
    10,993,924.50/23,691,850.50 = 23,691,850.50/x
  3. Step 3: Cross multiply
    10,993,924.50x = 23,691,850.50 × 23,691,850.50
  4. Step 4: Simplify right side
    10,993,924.50x = 561,303,780,114,350.25
  5. Step 5: Solve for x
    x = 561,303,780,114,350.25/10,993,924.50
  6. Step 6: Final answer
    x = 51,055,815.43

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Why These Related Problems?

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