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Finding the Third Proportional to 4,737,744 and 10,419,984

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Solution

The third proportional to 4,737,744 and 10,419,984 is: 22,917,250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737,744 : 10,419,984 = 10,419,984 : x
  2. Step 2: Convert to fraction form
    4,737,744/10,419,984 = 10,419,984/x
  3. Step 3: Cross multiply
    4,737,744x = 10,419,984 × 10,419,984
  4. Step 4: Simplify right side
    4,737,744x = 108,576,066,560,256
  5. Step 5: Solve for x
    x = 108,576,066,560,256/4,737,744
  6. Step 6: Final answer
    x = 22,917,250.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.