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Finding the Third Proportional to 6,861,367.50 and 14,610,171

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Solution

The third proportional to 6,861,367.50 and 14,610,171 is: 31,109,993.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861,367.50 : 14,610,171 = 14,610,171 : x
  2. Step 2: Convert to fraction form
    6,861,367.50/14,610,171 = 14,610,171/x
  3. Step 3: Cross multiply
    6,861,367.50x = 14,610,171 × 14,610,171
  4. Step 4: Simplify right side
    6,861,367.50x = 213,457,096,649,241
  5. Step 5: Solve for x
    x = 213,457,096,649,241/6,861,367.50
  6. Step 6: Final answer
    x = 31,109,993.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.