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Finding the Third Proportional to 11,705,996 and 18,015,510

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Solution

The third proportional to 11,705,996 and 18,015,510 is: 27,725,842.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705,996 : 18,015,510 = 18,015,510 : x
  2. Step 2: Convert to fraction form
    11,705,996/18,015,510 = 18,015,510/x
  3. Step 3: Cross multiply
    11,705,996x = 18,015,510 × 18,015,510
  4. Step 4: Simplify right side
    11,705,996x = 324,558,600,560,100
  5. Step 5: Solve for x
    x = 324,558,600,560,100/11,705,996
  6. Step 6: Final answer
    x = 27,725,842.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.