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Finding the Third Proportional to 4,544,858.25 and 10,098,611.16

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Solution

The third proportional to 4,544,858.25 and 10,098,611.16 is: 22,438,972.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544,858.25 : 10,098,611.16 = 10,098,611.16 : x
  2. Step 2: Convert to fraction form
    4,544,858.25/10,098,611.16 = 10,098,611.16/x
  3. Step 3: Cross multiply
    4,544,858.25x = 10,098,611.16 × 10,098,611.16
  4. Step 4: Simplify right side
    4,544,858.25x = 101,981,947,285,136.97
  5. Step 5: Solve for x
    x = 101,981,947,285,136.97/4,544,858.25
  6. Step 6: Final answer
    x = 22,438,972.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.