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Finding the Third Proportional to 17,250,251,242 and 25,806,419,175

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Solution

The third proportional to 17,250,251,242 and 25,806,419,175 is: 38,606,467,888.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,250,251,242 : 25,806,419,175 = 25,806,419,175 : x
  2. Step 2: Convert to fraction form
    17,250,251,242/25,806,419,175 = 25,806,419,175/x
  3. Step 3: Cross multiply
    17,250,251,242x = 25,806,419,175 × 25,806,419,175
  4. Step 4: Simplify right side
    17,250,251,242x = 665,971,270,635,807,703,040
  5. Step 5: Solve for x
    x = 665,971,270,635,807,703,040/17,250,251,242
  6. Step 6: Final answer
    x = 38,606,467,888.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.