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Finding the Third Proportional to 38,401,600 and 54,016,608

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Solution

The third proportional to 38,401,600 and 54,016,608 is: 75,981,051.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,401,600 : 54,016,608 = 54,016,608 : x
  2. Step 2: Convert to fraction form
    38,401,600/54,016,608 = 54,016,608/x
  3. Step 3: Cross multiply
    38,401,600x = 54,016,608 × 54,016,608
  4. Step 4: Simplify right side
    38,401,600x = 2,917,793,939,825,664
  5. Step 5: Solve for x
    x = 2,917,793,939,825,664/38,401,600
  6. Step 6: Final answer
    x = 75,981,051.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.