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Finding the Third Proportional to 5,302,117 and 8,107,247

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Solution

The third proportional to 5,302,117 and 8,107,247 is: 12,396,454.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302,117 : 8,107,247 = 8,107,247 : x
  2. Step 2: Convert to fraction form
    5,302,117/8,107,247 = 8,107,247/x
  3. Step 3: Cross multiply
    5,302,117x = 8,107,247 × 8,107,247
  4. Step 4: Simplify right side
    5,302,117x = 65,727,453,919,009
  5. Step 5: Solve for x
    x = 65,727,453,919,009/5,302,117
  6. Step 6: Final answer
    x = 12,396,454.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.