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Finding the Third Proportional to 19,993,737,844.50 and 41,642,345,610

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Solution

The third proportional to 19,993,737,844.50 and 41,642,345,610 is: 86,731,403,671.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993,737,844.50 : 41,642,345,610 = 41,642,345,610 : x
  2. Step 2: Convert to fraction form
    19,993,737,844.50/41,642,345,610 = 41,642,345,610/x
  3. Step 3: Cross multiply
    19,993,737,844.50x = 41,642,345,610 × 41,642,345,610
  4. Step 4: Simplify right side
    19,993,737,844.50x = 1,734,084,947,902,686,298,112
  5. Step 5: Solve for x
    x = 1,734,084,947,902,686,298,112/19,993,737,844.50
  6. Step 6: Final answer
    x = 86,731,403,671.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.