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Finding the Third Proportional to 4,790,821,247 and 10,425,246,766

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Solution

The third proportional to 4,790,821,247 and 10,425,246,766 is: 22,686,250,337.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,790,821,247 : 10,425,246,766 = 10,425,246,766 : x
  2. Step 2: Convert to fraction form
    4,790,821,247/10,425,246,766 = 10,425,246,766/x
  3. Step 3: Cross multiply
    4,790,821,247x = 10,425,246,766 × 10,425,246,766
  4. Step 4: Simplify right side
    4,790,821,247x = 108,685,770,131,993,460,736
  5. Step 5: Solve for x
    x = 108,685,770,131,993,460,736/4,790,821,247
  6. Step 6: Final answer
    x = 22,686,250,337.57

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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.