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Finding the Third Proportional to 4,790,821,245 and 10,425,246,761

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Solution

The third proportional to 4,790,821,245 and 10,425,246,761 is: 22,686,250,325.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,790,821,245 : 10,425,246,761 = 10,425,246,761 : x
  2. Step 2: Convert to fraction form
    4,790,821,245/10,425,246,761 = 10,425,246,761/x
  3. Step 3: Cross multiply
    4,790,821,245x = 10,425,246,761 × 10,425,246,761
  4. Step 4: Simplify right side
    4,790,821,245x = 108,685,770,027,740,987,392
  5. Step 5: Solve for x
    x = 108,685,770,027,740,987,392/4,790,821,245
  6. Step 6: Final answer
    x = 22,686,250,325.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.