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Finding the Third Proportional to 9,511,923 and 20,841,782

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Solution

The third proportional to 9,511,923 and 20,841,782 is: 45,666,883.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511,923 : 20,841,782 = 20,841,782 : x
  2. Step 2: Convert to fraction form
    9,511,923/20,841,782 = 20,841,782/x
  3. Step 3: Cross multiply
    9,511,923x = 20,841,782 × 20,841,782
  4. Step 4: Simplify right side
    9,511,923x = 434,379,876,935,524
  5. Step 5: Solve for x
    x = 434,379,876,935,524/9,511,923
  6. Step 6: Final answer
    x = 45,666,883.23

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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.