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Finding the Third Proportional to 4,022,482,249 and 8,659,725,002

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Solution

The third proportional to 4,022,482,249 and 8,659,725,002 is: 18,642,925,553.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,022,482,249 : 8,659,725,002 = 8,659,725,002 : x
  2. Step 2: Convert to fraction form
    4,022,482,249/8,659,725,002 = 8,659,725,002/x
  3. Step 3: Cross multiply
    4,022,482,249x = 8,659,725,002 × 8,659,725,002
  4. Step 4: Simplify right side
    4,022,482,249x = 74,990,837,110,263,906,304
  5. Step 5: Solve for x
    x = 74,990,837,110,263,906,304/4,022,482,249
  6. Step 6: Final answer
    x = 18,642,925,553.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.