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Finding the Third Proportional to 2,022,674,053,992 and 2,922,414,714,736

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Solution

The third proportional to 2,022,674,053,992 and 2,922,414,714,736 is: 4,222,384,594,319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022,674,053,992 : 2,922,414,714,736 = 2,922,414,714,736 : x
  2. Step 2: Convert to fraction form
    2,022,674,053,992/2,922,414,714,736 = 2,922,414,714,736/x
  3. Step 3: Cross multiply
    2,022,674,053,992x = 2,922,414,714,736 × 2,922,414,714,736
  4. Step 4: Simplify right side
    2,022,674,053,992x = 8,540,507,764,905,496,597,757,952
  5. Step 5: Solve for x
    x = 8,540,507,764,905,496,597,757,952/2,022,674,053,992
  6. Step 6: Final answer
    x = 4,222,384,594,319.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.