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Finding the Third Proportional to 19,993,737,710 and 41,642,345,318

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Solution

The third proportional to 19,993,737,710 and 41,642,345,318 is: 86,731,403,039.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993,737,710 : 41,642,345,318 = 41,642,345,318 : x
  2. Step 2: Convert to fraction form
    19,993,737,710/41,642,345,318 = 41,642,345,318/x
  3. Step 3: Cross multiply
    19,993,737,710x = 41,642,345,318 × 41,642,345,318
  4. Step 4: Simplify right side
    19,993,737,710x = 1,734,084,923,583,556,485,120
  5. Step 5: Solve for x
    x = 1,734,084,923,583,556,485,120/19,993,737,710
  6. Step 6: Final answer
    x = 86,731,403,039.07

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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.