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Finding the Third Proportional to 17,538,736 and 38,264,606

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Solution

The third proportional to 17,538,736 and 38,264,606 is: 83,482,645.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538,736 : 38,264,606 = 38,264,606 : x
  2. Step 2: Convert to fraction form
    17,538,736/38,264,606 = 38,264,606/x
  3. Step 3: Cross multiply
    17,538,736x = 38,264,606 × 38,264,606
  4. Step 4: Simplify right side
    17,538,736x = 1,464,180,072,335,236
  5. Step 5: Solve for x
    x = 1,464,180,072,335,236/17,538,736
  6. Step 6: Final answer
    x = 83,482,645.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.