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Finding the Third Proportional to 2,182,081,954 and 4,786,626,212

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Solution

The third proportional to 2,182,081,954 and 4,786,626,212 is: 10,499,967,909.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,081,954 : 4,786,626,212 = 4,786,626,212 : x
  2. Step 2: Convert to fraction form
    2,182,081,954/4,786,626,212 = 4,786,626,212/x
  3. Step 3: Cross multiply
    2,182,081,954x = 4,786,626,212 × 4,786,626,212
  4. Step 4: Simplify right side
    2,182,081,954x = 22,911,790,493,405,470,720
  5. Step 5: Solve for x
    x = 22,911,790,493,405,470,720/2,182,081,954
  6. Step 6: Final answer
    x = 10,499,967,909.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.