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Finding the Third Proportional to 14,138,734 and 21,619,302

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Solution

The third proportional to 14,138,734 and 21,619,302 is: 33,057,713.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138,734 : 21,619,302 = 21,619,302 : x
  2. Step 2: Convert to fraction form
    14,138,734/21,619,302 = 21,619,302/x
  3. Step 3: Cross multiply
    14,138,734x = 21,619,302 × 21,619,302
  4. Step 4: Simplify right side
    14,138,734x = 467,394,218,967,204
  5. Step 5: Solve for x
    x = 467,394,218,967,204/14,138,734
  6. Step 6: Final answer
    x = 33,057,713.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.