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Finding the Third Proportional to 12,107,043 and 18,384,774.75

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Solution

The third proportional to 12,107,043 and 18,384,774.75 is: 27,917,629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107,043 : 18,384,774.75 = 18,384,774.75 : x
  2. Step 2: Convert to fraction form
    12,107,043/18,384,774.75 = 18,384,774.75/x
  3. Step 3: Cross multiply
    12,107,043x = 18,384,774.75 × 18,384,774.75
  4. Step 4: Simplify right side
    12,107,043x = 337,999,942,608,237.56
  5. Step 5: Solve for x
    x = 337,999,942,608,237.56/12,107,043
  6. Step 6: Final answer
    x = 27,917,629.65

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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.