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Finding the Third Proportional to 17,677,740 and 27,591,036

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Solution

The third proportional to 17,677,740 and 27,591,036 is: 43,063,494.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677,740 : 27,591,036 = 27,591,036 : x
  2. Step 2: Convert to fraction form
    17,677,740/27,591,036 = 27,591,036/x
  3. Step 3: Cross multiply
    17,677,740x = 27,591,036 × 27,591,036
  4. Step 4: Simplify right side
    17,677,740x = 761,265,267,553,296
  5. Step 5: Solve for x
    x = 761,265,267,553,296/17,677,740
  6. Step 6: Final answer
    x = 43,063,494.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.