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Finding the Third Proportional to 37,425,682 and 81,906,653

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Solution

The third proportional to 37,425,682 and 81,906,653 is: 179,253,909.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,425,682 : 81,906,653 = 81,906,653 : x
  2. Step 2: Convert to fraction form
    37,425,682/81,906,653 = 81,906,653/x
  3. Step 3: Cross multiply
    37,425,682x = 81,906,653 × 81,906,653
  4. Step 4: Simplify right side
    37,425,682x = 6,708,699,805,662,409
  5. Step 5: Solve for x
    x = 6,708,699,805,662,409/37,425,682
  6. Step 6: Final answer
    x = 179,253,909.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.