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Finding the Third Proportional to 4,004,511.75 and 8,292,912.75

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Solution

The third proportional to 4,004,511.75 and 8,292,912.75 is: 17,173,729.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,004,511.75 : 8,292,912.75 = 8,292,912.75 : x
  2. Step 2: Convert to fraction form
    4,004,511.75/8,292,912.75 = 8,292,912.75/x
  3. Step 3: Cross multiply
    4,004,511.75x = 8,292,912.75 × 8,292,912.75
  4. Step 4: Simplify right side
    4,004,511.75x = 68,772,401,879,112.56
  5. Step 5: Solve for x
    x = 68,772,401,879,112.56/4,004,511.75
  6. Step 6: Final answer
    x = 17,173,729.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.