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Finding the Third Proportional to 6,472,163.80 and 10,785,659.30

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Solution

The third proportional to 6,472,163.80 and 10,785,659.30 is: 17,973,965.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472,163.80 : 10,785,659.30 = 10,785,659.30 : x
  2. Step 2: Convert to fraction form
    6,472,163.80/10,785,659.30 = 10,785,659.30/x
  3. Step 3: Cross multiply
    6,472,163.80x = 10,785,659.30 × 10,785,659.30
  4. Step 4: Simplify right side
    6,472,163.80x = 116,330,446,436,664.14
  5. Step 5: Solve for x
    x = 116,330,446,436,664.14/6,472,163.80
  6. Step 6: Final answer
    x = 17,973,965.12

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.