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Finding the Third Proportional to 3,220,516.69 and 6,945,449.06

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Solution

The third proportional to 3,220,516.69 and 6,945,449.06 is: 14,978,733.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220,516.69 : 6,945,449.06 = 6,945,449.06 : x
  2. Step 2: Convert to fraction form
    3,220,516.69/6,945,449.06 = 6,945,449.06/x
  3. Step 3: Cross multiply
    3,220,516.69x = 6,945,449.06 × 6,945,449.06
  4. Step 4: Simplify right side
    3,220,516.69x = 48,239,262,679,782.12
  5. Step 5: Solve for x
    x = 48,239,262,679,782.12/3,220,516.69
  6. Step 6: Final answer
    x = 14,978,733.96

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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.