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Finding the Third Proportional to 4,790,821,252 and 10,425,246,774

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Solution

The third proportional to 4,790,821,252 and 10,425,246,774 is: 22,686,250,348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,790,821,252 : 10,425,246,774 = 10,425,246,774 : x
  2. Step 2: Convert to fraction form
    4,790,821,252/10,425,246,774 = 10,425,246,774/x
  3. Step 3: Cross multiply
    4,790,821,252x = 10,425,246,774 × 10,425,246,774
  4. Step 4: Simplify right side
    4,790,821,252x = 108,685,770,298,797,408,256
  5. Step 5: Solve for x
    x = 108,685,770,298,797,408,256/4,790,821,252
  6. Step 6: Final answer
    x = 22,686,250,348.71

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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.