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Finding the Third Proportional to 3,305,920.22 and 5,108,489.86

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Solution

The third proportional to 3,305,920.22 and 5,108,489.86 is: 7,893,919.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305,920.22 : 5,108,489.86 = 5,108,489.86 : x
  2. Step 2: Convert to fraction form
    3,305,920.22/5,108,489.86 = 5,108,489.86/x
  3. Step 3: Cross multiply
    3,305,920.22x = 5,108,489.86 × 5,108,489.86
  4. Step 4: Simplify right side
    3,305,920.22x = 26,096,668,643,337.21
  5. Step 5: Solve for x
    x = 26,096,668,643,337.21/3,305,920.22
  6. Step 6: Final answer
    x = 7,893,919.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.