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Finding the Third Proportional to 809,746,531,048 and 1,686,515,304,206

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Solution

The third proportional to 809,746,531,048 and 1,686,515,304,206 is: 3,512,622,484,025.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,746,531,048 : 1,686,515,304,206 = 1,686,515,304,206 : x
  2. Step 2: Convert to fraction form
    809,746,531,048/1,686,515,304,206 = 1,686,515,304,206/x
  3. Step 3: Cross multiply
    809,746,531,048x = 1,686,515,304,206 × 1,686,515,304,206
  4. Step 4: Simplify right side
    809,746,531,048x = 2,844,333,871,321,056,490,291,200
  5. Step 5: Solve for x
    x = 2,844,333,871,321,056,490,291,200/809,746,531,048
  6. Step 6: Final answer
    x = 3,512,622,484,025.75

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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.