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Finding the Third Proportional to 8,117,040.38 and 12,186,237.38

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Solution

The third proportional to 8,117,040.38 and 12,186,237.38 is: 18,295,385.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117,040.38 : 12,186,237.38 = 12,186,237.38 : x
  2. Step 2: Convert to fraction form
    8,117,040.38/12,186,237.38 = 12,186,237.38/x
  3. Step 3: Cross multiply
    8,117,040.38x = 12,186,237.38 × 12,186,237.38
  4. Step 4: Simplify right side
    8,117,040.38x = 148,504,381,359,846.88
  5. Step 5: Solve for x
    x = 148,504,381,359,846.88/8,117,040.38
  6. Step 6: Final answer
    x = 18,295,385.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.