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Finding the Third Proportional to 3,894,648.75 and 9,015,404.63

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Solution

The third proportional to 3,894,648.75 and 9,015,404.63 is: 20,869,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894,648.75 : 9,015,404.63 = 9,015,404.63 : x
  2. Step 2: Convert to fraction form
    3,894,648.75/9,015,404.63 = 9,015,404.63/x
  3. Step 3: Cross multiply
    3,894,648.75x = 9,015,404.63 × 9,015,404.63
  4. Step 4: Simplify right side
    3,894,648.75x = 81,277,520,552,471.39
  5. Step 5: Solve for x
    x = 81,277,520,552,471.39/3,894,648.75
  6. Step 6: Final answer
    x = 20,869,024.59

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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.