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Finding the Third Proportional to 6,826,288.50 and 14,665,618.69

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Solution

The third proportional to 6,826,288.50 and 14,665,618.69 is: 31,507,659.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826,288.50 : 14,665,618.69 = 14,665,618.69 : x
  2. Step 2: Convert to fraction form
    6,826,288.50/14,665,618.69 = 14,665,618.69/x
  3. Step 3: Cross multiply
    6,826,288.50x = 14,665,618.69 × 14,665,618.69
  4. Step 4: Simplify right side
    6,826,288.50x = 215,080,371,487,149.22
  5. Step 5: Solve for x
    x = 215,080,371,487,149.22/6,826,288.50
  6. Step 6: Final answer
    x = 31,507,659.17

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.