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Finding the Third Proportional to 3,894,651.75 and 9,015,411.38

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Solution

The third proportional to 3,894,651.75 and 9,015,411.38 is: 20,869,039.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894,651.75 : 9,015,411.38 = 9,015,411.38 : x
  2. Step 2: Convert to fraction form
    3,894,651.75/9,015,411.38 = 9,015,411.38/x
  3. Step 3: Cross multiply
    3,894,651.75x = 9,015,411.38 × 9,015,411.38
  4. Step 4: Simplify right side
    3,894,651.75x = 81,277,642,260,479.39
  5. Step 5: Solve for x
    x = 81,277,642,260,479.39/3,894,651.75
  6. Step 6: Final answer
    x = 20,869,039.77

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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.