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Finding the Third Proportional to 21,882,782 and 50,654,741

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Solution

The third proportional to 21,882,782 and 50,654,741 is: 117,256,699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,882,782 : 50,654,741 = 50,654,741 : x
  2. Step 2: Convert to fraction form
    21,882,782/50,654,741 = 50,654,741/x
  3. Step 3: Cross multiply
    21,882,782x = 50,654,741 × 50,654,741
  4. Step 4: Simplify right side
    21,882,782x = 2,565,902,785,777,081
  5. Step 5: Solve for x
    x = 2,565,902,785,777,081/21,882,782
  6. Step 6: Final answer
    x = 117,256,699.16

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.