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Finding the Third Proportional to 10,556,857.50 and 23,131,530

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Solution

The third proportional to 10,556,857.50 and 23,131,530 is: 50,684,370.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556,857.50 : 23,131,530 = 23,131,530 : x
  2. Step 2: Convert to fraction form
    10,556,857.50/23,131,530 = 23,131,530/x
  3. Step 3: Cross multiply
    10,556,857.50x = 23,131,530 × 23,131,530
  4. Step 4: Simplify right side
    10,556,857.50x = 535,067,680,140,900
  5. Step 5: Solve for x
    x = 535,067,680,140,900/10,556,857.50
  6. Step 6: Final answer
    x = 50,684,370.81

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Why These Related Problems?

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