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Finding the Third Proportional to 7,466,033.57 and 11,354,912.54

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Solution

The third proportional to 7,466,033.57 and 11,354,912.54 is: 17,269,415.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466,033.57 : 11,354,912.54 = 11,354,912.54 : x
  2. Step 2: Convert to fraction form
    7,466,033.57/11,354,912.54 = 11,354,912.54/x
  3. Step 3: Cross multiply
    7,466,033.57x = 11,354,912.54 × 11,354,912.54
  4. Step 4: Simplify right side
    7,466,033.57x = 128,934,038,858,474.72
  5. Step 5: Solve for x
    x = 128,934,038,858,474.72/7,466,033.57
  6. Step 6: Final answer
    x = 17,269,415.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.