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Finding the Third Proportional to 6,863,474.50 and 14,922,149

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Solution

The third proportional to 6,863,474.50 and 14,922,149 is: 32,442,829.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863,474.50 : 14,922,149 = 14,922,149 : x
  2. Step 2: Convert to fraction form
    6,863,474.50/14,922,149 = 14,922,149/x
  3. Step 3: Cross multiply
    6,863,474.50x = 14,922,149 × 14,922,149
  4. Step 4: Simplify right side
    6,863,474.50x = 222,670,530,778,201
  5. Step 5: Solve for x
    x = 222,670,530,778,201/6,863,474.50
  6. Step 6: Final answer
    x = 32,442,829.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.