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Finding the Third Proportional to 369,983,036,175 and 588,715,743,353

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Solution

The third proportional to 369,983,036,175 and 588,715,743,353 is: 936,762,479,855.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,983,036,175 : 588,715,743,353 = 588,715,743,353 : x
  2. Step 2: Convert to fraction form
    369,983,036,175/588,715,743,353 = 588,715,743,353/x
  3. Step 3: Cross multiply
    369,983,036,175x = 588,715,743,353 × 588,715,743,353
  4. Step 4: Simplify right side
    369,983,036,175x = 346,586,226,471,675,348,647,936
  5. Step 5: Solve for x
    x = 346,586,226,471,675,348,647,936/369,983,036,175
  6. Step 6: Final answer
    x = 936,762,479,855.27

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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.