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Finding the Third Proportional to 19,993,737,858 and 41,642,345,638

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Solution

The third proportional to 19,993,737,858 and 41,642,345,638 is: 86,731,403,730.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993,737,858 : 41,642,345,638 = 41,642,345,638 : x
  2. Step 2: Convert to fraction form
    19,993,737,858/41,642,345,638 = 41,642,345,638/x
  3. Step 3: Cross multiply
    19,993,737,858x = 41,642,345,638 × 41,642,345,638
  4. Step 4: Simplify right side
    19,993,737,858x = 1,734,084,950,234,657,718,272
  5. Step 5: Solve for x
    x = 1,734,084,950,234,657,718,272/19,993,737,858
  6. Step 6: Final answer
    x = 86,731,403,730.03

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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.