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Finding the Third Proportional to 627,988,376,566 and 1,369,636,040,252

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Solution

The third proportional to 627,988,376,566 and 1,369,636,040,252 is: 2,987,161,789,546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,988,376,566 : 1,369,636,040,252 = 1,369,636,040,252 : x
  2. Step 2: Convert to fraction form
    627,988,376,566/1,369,636,040,252 = 1,369,636,040,252/x
  3. Step 3: Cross multiply
    627,988,376,566x = 1,369,636,040,252 × 1,369,636,040,252
  4. Step 4: Simplify right side
    627,988,376,566x = 1,875,902,882,757,178,103,431,168
  5. Step 5: Solve for x
    x = 1,875,902,882,757,178,103,431,168/627,988,376,566
  6. Step 6: Final answer
    x = 2,987,161,789,546.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.