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Finding the Third Proportional to 19,705,338 and 31,379,307

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Solution

The third proportional to 19,705,338 and 31,379,307 is: 49,969,247.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705,338 : 31,379,307 = 31,379,307 : x
  2. Step 2: Convert to fraction form
    19,705,338/31,379,307 = 31,379,307/x
  3. Step 3: Cross multiply
    19,705,338x = 31,379,307 × 31,379,307
  4. Step 4: Simplify right side
    19,705,338x = 984,660,907,800,249
  5. Step 5: Solve for x
    x = 984,660,907,800,249/19,705,338
  6. Step 6: Final answer
    x = 49,969,247.31

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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.