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Finding the Third Proportional to 3,086,340 and 6,761,120

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Solution

The third proportional to 3,086,340 and 6,761,120 is: 14,811,311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086,340 : 6,761,120 = 6,761,120 : x
  2. Step 2: Convert to fraction form
    3,086,340/6,761,120 = 6,761,120/x
  3. Step 3: Cross multiply
    3,086,340x = 6,761,120 × 6,761,120
  4. Step 4: Simplify right side
    3,086,340x = 45,712,743,654,400
  5. Step 5: Solve for x
    x = 45,712,743,654,400/3,086,340
  6. Step 6: Final answer
    x = 14,811,311.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.