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Finding the Third Proportional to 2,182,081,923 and 4,786,626,150

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Solution

The third proportional to 2,182,081,923 and 4,786,626,150 is: 10,499,967,786.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,081,923 : 4,786,626,150 = 4,786,626,150 : x
  2. Step 2: Convert to fraction form
    2,182,081,923/4,786,626,150 = 4,786,626,150/x
  3. Step 3: Cross multiply
    2,182,081,923x = 4,786,626,150 × 4,786,626,150
  4. Step 4: Simplify right side
    2,182,081,923x = 22,911,789,899,863,822,336
  5. Step 5: Solve for x
    x = 22,911,789,899,863,822,336/2,182,081,923
  6. Step 6: Final answer
    x = 10,499,967,786.89

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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.