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Finding the Third Proportional to 627,988,376,556 and 1,369,636,040,232

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Solution

The third proportional to 627,988,376,556 and 1,369,636,040,232 is: 2,987,161,789,506.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,988,376,556 : 1,369,636,040,232 = 1,369,636,040,232 : x
  2. Step 2: Convert to fraction form
    627,988,376,556/1,369,636,040,232 = 1,369,636,040,232/x
  3. Step 3: Cross multiply
    627,988,376,556x = 1,369,636,040,232 × 1,369,636,040,232
  4. Step 4: Simplify right side
    627,988,376,556x = 1,875,902,882,702,392,842,780,672
  5. Step 5: Solve for x
    x = 1,875,902,882,702,392,842,780,672/627,988,376,556
  6. Step 6: Final answer
    x = 2,987,161,789,506.64

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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.