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Finding the Third Proportional to 11,822,976 and 17,819,028

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Solution

The third proportional to 11,822,976 and 17,819,028 is: 26,855,992.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822,976 : 17,819,028 = 17,819,028 : x
  2. Step 2: Convert to fraction form
    11,822,976/17,819,028 = 17,819,028/x
  3. Step 3: Cross multiply
    11,822,976x = 17,819,028 × 17,819,028
  4. Step 4: Simplify right side
    11,822,976x = 317,517,758,864,784
  5. Step 5: Solve for x
    x = 317,517,758,864,784/11,822,976
  6. Step 6: Final answer
    x = 26,855,992.85

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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.