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Finding the Third Proportional to 2,182,081,950 and 4,786,626,203

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Solution

The third proportional to 2,182,081,950 and 4,786,626,203 is: 10,499,967,889.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,081,950 : 4,786,626,203 = 4,786,626,203 : x
  2. Step 2: Convert to fraction form
    2,182,081,950/4,786,626,203 = 4,786,626,203/x
  3. Step 3: Cross multiply
    2,182,081,950x = 4,786,626,203 × 4,786,626,203
  4. Step 4: Simplify right side
    2,182,081,950x = 22,911,790,407,246,196,736
  5. Step 5: Solve for x
    x = 22,911,790,407,246,196,736/2,182,081,950
  6. Step 6: Final answer
    x = 10,499,967,889.49

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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.