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Finding the Third Proportional to 312,995,367,481.50 and 677,963,983,324.48

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Solution

The third proportional to 312,995,367,481.50 and 677,963,983,324.48 is: 1,468,504,682,301.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,995,367,481.50 : 677,963,983,324.48 = 677,963,983,324.48 : x
  2. Step 2: Convert to fraction form
    312,995,367,481.50/677,963,983,324.48 = 677,963,983,324.48/x
  3. Step 3: Cross multiply
    312,995,367,481.50x = 677,963,983,324.48 × 677,963,983,324.48
  4. Step 4: Simplify right side
    312,995,367,481.50x = 459,635,162,685,195,736,317,952
  5. Step 5: Solve for x
    x = 459,635,162,685,195,736,317,952/312,995,367,481.50
  6. Step 6: Final answer
    x = 1,468,504,682,301.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.