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Finding the Third Proportional to 809,746,377,240 and 1,686,514,985,424

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Solution

The third proportional to 809,746,377,240 and 1,686,514,985,424 is: 3,512,621,823,335.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,746,377,240 : 1,686,514,985,424 = 1,686,514,985,424 : x
  2. Step 2: Convert to fraction form
    809,746,377,240/1,686,514,985,424 = 1,686,514,985,424/x
  3. Step 3: Cross multiply
    809,746,377,240x = 1,686,514,985,424 × 1,686,514,985,424
  4. Step 4: Simplify right side
    809,746,377,240x = 2,844,332,796,059,714,936,897,536
  5. Step 5: Solve for x
    x = 2,844,332,796,059,714,936,897,536/809,746,377,240
  6. Step 6: Final answer
    x = 3,512,621,823,335.04

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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.