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Finding the Third Proportional to 19,993,737,844 and 41,642,345,609

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Solution

The third proportional to 19,993,737,844 and 41,642,345,609 is: 86,731,403,669.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993,737,844 : 41,642,345,609 = 41,642,345,609 : x
  2. Step 2: Convert to fraction form
    19,993,737,844/41,642,345,609 = 41,642,345,609/x
  3. Step 3: Cross multiply
    19,993,737,844x = 41,642,345,609 × 41,642,345,609
  4. Step 4: Simplify right side
    19,993,737,844x = 1,734,084,947,819,401,576,448
  5. Step 5: Solve for x
    x = 1,734,084,947,819,401,576,448/19,993,737,844
  6. Step 6: Final answer
    x = 86,731,403,669.96

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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.