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Finding the Third Proportional to 320,329,766 and 699,376,096

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Solution

The third proportional to 320,329,766 and 699,376,096 is: 1,526,948,087.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,329,766 : 699,376,096 = 699,376,096 : x
  2. Step 2: Convert to fraction form
    320,329,766/699,376,096 = 699,376,096/x
  3. Step 3: Cross multiply
    320,329,766x = 699,376,096 × 699,376,096
  4. Step 4: Simplify right side
    320,329,766x = 489,126,923,656,201,216
  5. Step 5: Solve for x
    x = 489,126,923,656,201,216/320,329,766
  6. Step 6: Final answer
    x = 1,526,948,087.79

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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.