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Finding the Third Proportional to 369,983,036,174 and 588,715,743,351

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Solution

The third proportional to 369,983,036,174 and 588,715,743,351 is: 936,762,479,851.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,983,036,174 : 588,715,743,351 = 588,715,743,351 : x
  2. Step 2: Convert to fraction form
    369,983,036,174/588,715,743,351 = 588,715,743,351/x
  3. Step 3: Cross multiply
    369,983,036,174x = 588,715,743,351 × 588,715,743,351
  4. Step 4: Simplify right side
    369,983,036,174x = 346,586,226,469,320,498,610,176
  5. Step 5: Solve for x
    x = 346,586,226,469,320,498,610,176/369,983,036,174
  6. Step 6: Final answer
    x = 936,762,479,851.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.