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Finding the Third Proportional to 11,722,966 and 17,706,945

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Solution

The third proportional to 11,722,966 and 17,706,945 is: 26,745,441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722,966 : 17,706,945 = 17,706,945 : x
  2. Step 2: Convert to fraction form
    11,722,966/17,706,945 = 17,706,945/x
  3. Step 3: Cross multiply
    11,722,966x = 17,706,945 × 17,706,945
  4. Step 4: Simplify right side
    11,722,966x = 313,535,901,233,025
  5. Step 5: Solve for x
    x = 313,535,901,233,025/11,722,966
  6. Step 6: Final answer
    x = 26,745,441.49

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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.