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Finding the Third Proportional to 2,380,017,864 and 5,142,463,296

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Solution

The third proportional to 2,380,017,864 and 5,142,463,296 is: 11,111,231,201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380,017,864 : 5,142,463,296 = 5,142,463,296 : x
  2. Step 2: Convert to fraction form
    2,380,017,864/5,142,463,296 = 5,142,463,296/x
  3. Step 3: Cross multiply
    2,380,017,864x = 5,142,463,296 × 5,142,463,296
  4. Step 4: Simplify right side
    2,380,017,864x = 26,444,928,750,707,183,616
  5. Step 5: Solve for x
    x = 26,444,928,750,707,183,616/2,380,017,864
  6. Step 6: Final answer
    x = 11,111,231,201.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.