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Finding the Third Proportional to 627,988,376,564 and 1,369,636,040,248

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Solution

The third proportional to 627,988,376,564 and 1,369,636,040,248 is: 2,987,161,789,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,988,376,564 : 1,369,636,040,248 = 1,369,636,040,248 : x
  2. Step 2: Convert to fraction form
    627,988,376,564/1,369,636,040,248 = 1,369,636,040,248/x
  3. Step 3: Cross multiply
    627,988,376,564x = 1,369,636,040,248 × 1,369,636,040,248
  4. Step 4: Simplify right side
    627,988,376,564x = 1,875,902,882,746,221,104,988,160
  5. Step 5: Solve for x
    x = 1,875,902,882,746,221,104,988,160/627,988,376,564
  6. Step 6: Final answer
    x = 2,987,161,789,538.38

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Why These Related Problems?

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