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Finding the Third Proportional to 3,273,174.75 and 7,112,913.75

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Solution

The third proportional to 3,273,174.75 and 7,112,913.75 is: 15,457,024.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273,174.75 : 7,112,913.75 = 7,112,913.75 : x
  2. Step 2: Convert to fraction form
    3,273,174.75/7,112,913.75 = 7,112,913.75/x
  3. Step 3: Cross multiply
    3,273,174.75x = 7,112,913.75 × 7,112,913.75
  4. Step 4: Simplify right side
    3,273,174.75x = 50,593,542,014,939.06
  5. Step 5: Solve for x
    x = 50,593,542,014,939.06/3,273,174.75
  6. Step 6: Final answer
    x = 15,457,024.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.