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Finding the Third Proportional to 38,402,238 and 54,017,565

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Solution

The third proportional to 38,402,238 and 54,017,565 is: 75,982,481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,402,238 : 54,017,565 = 54,017,565 : x
  2. Step 2: Convert to fraction form
    38,402,238/54,017,565 = 54,017,565/x
  3. Step 3: Cross multiply
    38,402,238x = 54,017,565 × 54,017,565
  4. Step 4: Simplify right side
    38,402,238x = 2,917,897,328,529,225
  5. Step 5: Solve for x
    x = 2,917,897,328,529,225/38,402,238
  6. Step 6: Final answer
    x = 75,982,481.24

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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.