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Finding the Third Proportional to 11,905,195 and 25,839,920

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Solution

The third proportional to 11,905,195 and 25,839,920 is: 56,084,882.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905,195 : 25,839,920 = 25,839,920 : x
  2. Step 2: Convert to fraction form
    11,905,195/25,839,920 = 25,839,920/x
  3. Step 3: Cross multiply
    11,905,195x = 25,839,920 × 25,839,920
  4. Step 4: Simplify right side
    11,905,195x = 667,701,465,606,400
  5. Step 5: Solve for x
    x = 667,701,465,606,400/11,905,195
  6. Step 6: Final answer
    x = 56,084,882.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.