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Finding the Third Proportional to 809,746,382,722.50 and 1,686,514,997,243.20

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Solution

The third proportional to 809,746,382,722.50 and 1,686,514,997,243.20 is: 3,512,621,848,785.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,746,382,722.50 : 1,686,514,997,243.20 = 1,686,514,997,243.20 : x
  2. Step 2: Convert to fraction form
    809,746,382,722.50/1,686,514,997,243.20 = 1,686,514,997,243.20/x
  3. Step 3: Cross multiply
    809,746,382,722.50x = 1,686,514,997,243.20 × 1,686,514,997,243.20
  4. Step 4: Simplify right side
    809,746,382,722.50x = 2,844,332,835,926,230,591,078,400
  5. Step 5: Solve for x
    x = 2,844,332,835,926,230,591,078,400/809,746,382,722.50
  6. Step 6: Final answer
    x = 3,512,621,848,785.69

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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.