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Finding the Third Proportional to 809,746,531,044 and 1,686,515,304,198

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Solution

The third proportional to 809,746,531,044 and 1,686,515,304,198 is: 3,512,622,484,009.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,746,531,044 : 1,686,515,304,198 = 1,686,515,304,198 : x
  2. Step 2: Convert to fraction form
    809,746,531,044/1,686,515,304,198 = 1,686,515,304,198/x
  3. Step 3: Cross multiply
    809,746,531,044x = 1,686,515,304,198 × 1,686,515,304,198
  4. Step 4: Simplify right side
    809,746,531,044x = 2,844,333,871,294,072,284,512,256
  5. Step 5: Solve for x
    x = 2,844,333,871,294,072,284,512,256/809,746,531,044
  6. Step 6: Final answer
    x = 3,512,622,484,009.77

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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.