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Finding the Third Proportional to 135,794,775,978 and 285,661,991,556

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Solution

The third proportional to 135,794,775,978 and 285,661,991,556 is: 600,927,192,022.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,794,775,978 : 285,661,991,556 = 285,661,991,556 : x
  2. Step 2: Convert to fraction form
    135,794,775,978/285,661,991,556 = 285,661,991,556/x
  3. Step 3: Cross multiply
    135,794,775,978x = 285,661,991,556 × 285,661,991,556
  4. Step 4: Simplify right side
    135,794,775,978x = 81,602,773,419,740,222,193,664
  5. Step 5: Solve for x
    x = 81,602,773,419,740,222,193,664/135,794,775,978
  6. Step 6: Final answer
    x = 600,927,192,022.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.