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Finding the Third Proportional to 9,433,980 and 20,213,375

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Solution

The third proportional to 9,433,980 and 20,213,375 is: 43,309,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433,980 : 20,213,375 = 20,213,375 : x
  2. Step 2: Convert to fraction form
    9,433,980/20,213,375 = 20,213,375/x
  3. Step 3: Cross multiply
    9,433,980x = 20,213,375 × 20,213,375
  4. Step 4: Simplify right side
    9,433,980x = 408,580,528,890,625
  5. Step 5: Solve for x
    x = 408,580,528,890,625/9,433,980
  6. Step 6: Final answer
    x = 43,309,454.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.