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Finding the Third Proportional to 11,822,961 and 17,819,007

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Solution

The third proportional to 11,822,961 and 17,819,007 is: 26,855,963.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822,961 : 17,819,007 = 17,819,007 : x
  2. Step 2: Convert to fraction form
    11,822,961/17,819,007 = 17,819,007/x
  3. Step 3: Cross multiply
    11,822,961x = 17,819,007 × 17,819,007
  4. Step 4: Simplify right side
    11,822,961x = 317,517,010,466,049
  5. Step 5: Solve for x
    x = 317,517,010,466,049/11,822,961
  6. Step 6: Final answer
    x = 26,855,963.62

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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.