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Finding the Third Proportional to 3,726,865.50 and 7,985,175

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Solution

The third proportional to 3,726,865.50 and 7,985,175 is: 17,109,020.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726,865.50 : 7,985,175 = 7,985,175 : x
  2. Step 2: Convert to fraction form
    3,726,865.50/7,985,175 = 7,985,175/x
  3. Step 3: Cross multiply
    3,726,865.50x = 7,985,175 × 7,985,175
  4. Step 4: Simplify right side
    3,726,865.50x = 63,763,019,780,625
  5. Step 5: Solve for x
    x = 63,763,019,780,625/3,726,865.50
  6. Step 6: Final answer
    x = 17,109,020.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.