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Finding the Third Proportional to 11,682,542,520 and 25,136,511,057

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Solution

The third proportional to 11,682,542,520 and 25,136,511,057 is: 54,084,475,792.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682,542,520 : 25,136,511,057 = 25,136,511,057 : x
  2. Step 2: Convert to fraction form
    11,682,542,520/25,136,511,057 = 25,136,511,057/x
  3. Step 3: Cross multiply
    11,682,542,520x = 25,136,511,057 × 25,136,511,057
  4. Step 4: Simplify right side
    11,682,542,520x = 631,844,188,118,683,222,016
  5. Step 5: Solve for x
    x = 631,844,188,118,683,222,016/11,682,542,520
  6. Step 6: Final answer
    x = 54,084,475,792.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.