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Finding the Third Proportional to 3,838,405.50 and 8,208,225

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Solution

The third proportional to 3,838,405.50 and 8,208,225 is: 17,552,850.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838,405.50 : 8,208,225 = 8,208,225 : x
  2. Step 2: Convert to fraction form
    3,838,405.50/8,208,225 = 8,208,225/x
  3. Step 3: Cross multiply
    3,838,405.50x = 8,208,225 × 8,208,225
  4. Step 4: Simplify right side
    3,838,405.50x = 67,374,957,650,625
  5. Step 5: Solve for x
    x = 67,374,957,650,625/3,838,405.50
  6. Step 6: Final answer
    x = 17,552,850.44

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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.