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Finding the Third Proportional to 369,983,036,172 and 588,715,743,348

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Solution

The third proportional to 369,983,036,172 and 588,715,743,348 is: 936,762,479,846.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,983,036,172 : 588,715,743,348 = 588,715,743,348 : x
  2. Step 2: Convert to fraction form
    369,983,036,172/588,715,743,348 = 588,715,743,348/x
  3. Step 3: Cross multiply
    369,983,036,172x = 588,715,743,348 × 588,715,743,348
  4. Step 4: Simplify right side
    369,983,036,172x = 346,586,226,465,788,223,553,536
  5. Step 5: Solve for x
    x = 346,586,226,465,788,223,553,536/369,983,036,172
  6. Step 6: Final answer
    x = 936,762,479,846.96

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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.