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Finding the Third Proportional to 11,822,966 and 17,819,012

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Solution

The third proportional to 11,822,966 and 17,819,012 is: 26,855,967.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822,966 : 17,819,012 = 17,819,012 : x
  2. Step 2: Convert to fraction form
    11,822,966/17,819,012 = 17,819,012/x
  3. Step 3: Cross multiply
    11,822,966x = 17,819,012 × 17,819,012
  4. Step 4: Simplify right side
    11,822,966x = 317,517,188,656,144
  5. Step 5: Solve for x
    x = 317,517,188,656,144/11,822,966
  6. Step 6: Final answer
    x = 26,855,967.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.