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Finding the Third Proportional to 6,317,716.50 and 13,644,166.50

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Solution

The third proportional to 6,317,716.50 and 13,644,166.50 is: 29,466,861.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317,716.50 : 13,644,166.50 = 13,644,166.50 : x
  2. Step 2: Convert to fraction form
    6,317,716.50/13,644,166.50 = 13,644,166.50/x
  3. Step 3: Cross multiply
    6,317,716.50x = 13,644,166.50 × 13,644,166.50
  4. Step 4: Simplify right side
    6,317,716.50x = 186,163,279,479,722.25
  5. Step 5: Solve for x
    x = 186,163,279,479,722.25/6,317,716.50
  6. Step 6: Final answer
    x = 29,466,861.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.