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Finding the Third Proportional to 2,841,279,665,252 and 5,833,183,842,728

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Solution

The third proportional to 2,841,279,665,252 and 5,833,183,842,728 is: 11,975,601,754,093.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841,279,665,252 : 5,833,183,842,728 = 5,833,183,842,728 : x
  2. Step 2: Convert to fraction form
    2,841,279,665,252/5,833,183,842,728 = 5,833,183,842,728/x
  3. Step 3: Cross multiply
    2,841,279,665,252x = 5,833,183,842,728 × 5,833,183,842,728
  4. Step 4: Simplify right side
    2,841,279,665,252x = 34,026,033,743,062,995,119,898,624
  5. Step 5: Solve for x
    x = 34,026,033,743,062,995,119,898,624/2,841,279,665,252
  6. Step 6: Final answer
    x = 11,975,601,754,093.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.