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Finding the Third Proportional to 11,822,972 and 17,819,021

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Solution

The third proportional to 11,822,972 and 17,819,021 is: 26,855,980.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822,972 : 17,819,021 = 17,819,021 : x
  2. Step 2: Convert to fraction form
    11,822,972/17,819,021 = 17,819,021/x
  3. Step 3: Cross multiply
    11,822,972x = 17,819,021 × 17,819,021
  4. Step 4: Simplify right side
    11,822,972x = 317,517,509,398,441
  5. Step 5: Solve for x
    x = 317,517,509,398,441/11,822,972
  6. Step 6: Final answer
    x = 26,855,980.83

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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.