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Finding the Third Proportional to 40,556,800 and 90,181,256

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Solution

The third proportional to 40,556,800 and 90,181,256 is: 200,525,163.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,556,800 : 90,181,256 = 90,181,256 : x
  2. Step 2: Convert to fraction form
    40,556,800/90,181,256 = 90,181,256/x
  3. Step 3: Cross multiply
    40,556,800x = 90,181,256 × 90,181,256
  4. Step 4: Simplify right side
    40,556,800x = 8,132,658,933,737,536
  5. Step 5: Solve for x
    x = 8,132,658,933,737,536/40,556,800
  6. Step 6: Final answer
    x = 200,525,163.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.