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Finding the Third Proportional to 11,810,100.38 and 16,888,464.56

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Solution

The third proportional to 11,810,100.38 and 16,888,464.56 is: 24,150,534.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810,100.38 : 16,888,464.56 = 16,888,464.56 : x
  2. Step 2: Convert to fraction form
    11,810,100.38/16,888,464.56 = 16,888,464.56/x
  3. Step 3: Cross multiply
    11,810,100.38x = 16,888,464.56 × 16,888,464.56
  4. Step 4: Simplify right side
    11,810,100.38x = 285,220,235,278,818.31
  5. Step 5: Solve for x
    x = 285,220,235,278,818.31/11,810,100.38
  6. Step 6: Final answer
    x = 24,150,534.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.