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Finding the Third Proportional to 2,541,391.50 and 5,451,289.50

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Solution

The third proportional to 2,541,391.50 and 5,451,289.50 is: 11,693,026.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541,391.50 : 5,451,289.50 = 5,451,289.50 : x
  2. Step 2: Convert to fraction form
    2,541,391.50/5,451,289.50 = 5,451,289.50/x
  3. Step 3: Cross multiply
    2,541,391.50x = 5,451,289.50 × 5,451,289.50
  4. Step 4: Simplify right side
    2,541,391.50x = 29,716,557,212,810.25
  5. Step 5: Solve for x
    x = 29,716,557,212,810.25/2,541,391.50
  6. Step 6: Final answer
    x = 11,693,026.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.