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Finding the Third Proportional to 809,746,382,733 and 1,686,514,997,262

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Solution

The third proportional to 809,746,382,733 and 1,686,514,997,262 is: 3,512,621,848,818.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,746,382,733 : 1,686,514,997,262 = 1,686,514,997,262 : x
  2. Step 2: Convert to fraction form
    809,746,382,733/1,686,514,997,262 = 1,686,514,997,262/x
  3. Step 3: Cross multiply
    809,746,382,733x = 1,686,514,997,262 × 1,686,514,997,262
  4. Step 4: Simplify right side
    809,746,382,733x = 2,844,332,835,989,643,635,720,192
  5. Step 5: Solve for x
    x = 2,844,332,835,989,643,635,720,192/809,746,382,733
  6. Step 6: Final answer
    x = 3,512,621,848,818.45

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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.