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Finding the Third Proportional to 12,450,741,152,978 and 27,391,586,987,802

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Solution

The third proportional to 12,450,741,152,978 and 27,391,586,987,802 is: 60,261,395,566,067.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,450,741,152,978 : 27,391,586,987,802 = 27,391,586,987,802 : x
  2. Step 2: Convert to fraction form
    12,450,741,152,978/27,391,586,987,802 = 27,391,586,987,802/x
  3. Step 3: Cross multiply
    12,450,741,152,978x = 27,391,586,987,802 × 27,391,586,987,802
  4. Step 4: Simplify right side
    12,450,741,152,978x = 750,299,037,710,323,819,548,246,016
  5. Step 5: Solve for x
    x = 750,299,037,710,323,819,548,246,016/12,450,741,152,978
  6. Step 6: Final answer
    x = 60,261,395,566,067.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.