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Finding the Third Proportional to 809,746,382,734 and 1,686,514,997,268

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Solution

The third proportional to 809,746,382,734 and 1,686,514,997,268 is: 3,512,621,848,839.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,746,382,734 : 1,686,514,997,268 = 1,686,514,997,268 : x
  2. Step 2: Convert to fraction form
    809,746,382,734/1,686,514,997,268 = 1,686,514,997,268/x
  3. Step 3: Cross multiply
    809,746,382,734x = 1,686,514,997,268 × 1,686,514,997,268
  4. Step 4: Simplify right side
    809,746,382,734x = 2,844,332,836,009,882,058,489,856
  5. Step 5: Solve for x
    x = 2,844,332,836,009,882,058,489,856/809,746,382,734
  6. Step 6: Final answer
    x = 3,512,621,848,839.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.