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Finding the Third Proportional to 19,993,738,272 and 41,642,346,394

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Solution

The third proportional to 19,993,738,272 and 41,642,346,394 is: 86,731,405,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993,738,272 : 41,642,346,394 = 41,642,346,394 : x
  2. Step 2: Convert to fraction form
    19,993,738,272/41,642,346,394 = 41,642,346,394/x
  3. Step 3: Cross multiply
    19,993,738,272x = 41,642,346,394 × 41,642,346,394
  4. Step 4: Simplify right side
    19,993,738,272x = 1,734,085,013,197,884,751,872
  5. Step 5: Solve for x
    x = 1,734,085,013,197,884,751,872/19,993,738,272
  6. Step 6: Final answer
    x = 86,731,405,083.28

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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.