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Finding the Third Proportional to 19,993,737,825.70 and 41,642,345,575.55

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Solution

The third proportional to 19,993,737,825.70 and 41,642,345,575.55 is: 86,731,403,609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993,737,825.70 : 41,642,345,575.55 = 41,642,345,575.55 : x
  2. Step 2: Convert to fraction form
    19,993,737,825.70/41,642,345,575.55 = 41,642,345,575.55/x
  3. Step 3: Cross multiply
    19,993,737,825.70x = 41,642,345,575.55 × 41,642,345,575.55
  4. Step 4: Simplify right side
    19,993,737,825.70x = 1,734,084,945,033,195,421,696
  5. Step 5: Solve for x
    x = 1,734,084,945,033,195,421,696/19,993,737,825.70
  6. Step 6: Final answer
    x = 86,731,403,609.98

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