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Finding the Third Proportional to 72,474,296 and 109,766,397

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Solution

The third proportional to 72,474,296 and 109,766,397 is: 166,247,381.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,474,296 : 109,766,397 = 109,766,397 : x
  2. Step 2: Convert to fraction form
    72,474,296/109,766,397 = 109,766,397/x
  3. Step 3: Cross multiply
    72,474,296x = 109,766,397 × 109,766,397
  4. Step 4: Simplify right side
    72,474,296x = 12,048,661,910,361,608
  5. Step 5: Solve for x
    x = 12,048,661,910,361,608/72,474,296
  6. Step 6: Final answer
    x = 166,247,381.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.