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Finding the Third Proportional to 324,514,568 and 765,288,680

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Solution

The third proportional to 324,514,568 and 765,288,680 is: 1,804,747,217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,514,568 : 765,288,680 = 765,288,680 : x
  2. Step 2: Convert to fraction form
    324,514,568/765,288,680 = 765,288,680/x
  3. Step 3: Cross multiply
    324,514,568x = 765,288,680 × 765,288,680
  4. Step 4: Simplify right side
    324,514,568x = 585,666,763,736,142,336
  5. Step 5: Solve for x
    x = 585,666,763,736,142,336/324,514,568
  6. Step 6: Final answer
    x = 1,804,747,217.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.