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Finding the Third Proportional to 6,419,622.25 and 8,743,516

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Solution

The third proportional to 6,419,622.25 and 8,743,516 is: 11,908,655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419,622.25 : 8,743,516 = 8,743,516 : x
  2. Step 2: Convert to fraction form
    6,419,622.25/8,743,516 = 8,743,516/x
  3. Step 3: Cross multiply
    6,419,622.25x = 8,743,516 × 8,743,516
  4. Step 4: Simplify right side
    6,419,622.25x = 76,449,072,042,256
  5. Step 5: Solve for x
    x = 76,449,072,042,256/6,419,622.25
  6. Step 6: Final answer
    x = 11,908,655.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.