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Finding the Third Proportional to 11,941,350 and 16,340,772

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Solution

The third proportional to 11,941,350 and 16,340,772 is: 22,361,025.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,941,350 : 16,340,772 = 16,340,772 : x
  2. Step 2: Convert to fraction form
    11,941,350/16,340,772 = 16,340,772/x
  3. Step 3: Cross multiply
    11,941,350x = 16,340,772 × 16,340,772
  4. Step 4: Simplify right side
    11,941,350x = 267,020,829,555,984
  5. Step 5: Solve for x
    x = 267,020,829,555,984/11,941,350
  6. Step 6: Final answer
    x = 22,361,025.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.