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Finding the Third Proportional to 8,085,706.50 and 12,212,775

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Solution

The third proportional to 8,085,706.50 and 12,212,775 is: 18,446,362.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085,706.50 : 12,212,775 = 12,212,775 : x
  2. Step 2: Convert to fraction form
    8,085,706.50/12,212,775 = 12,212,775/x
  3. Step 3: Cross multiply
    8,085,706.50x = 12,212,775 × 12,212,775
  4. Step 4: Simplify right side
    8,085,706.50x = 149,151,873,200,625
  5. Step 5: Solve for x
    x = 149,151,873,200,625/8,085,706.50
  6. Step 6: Final answer
    x = 18,446,362.50

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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.