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Finding the Third Proportional to 4,144,172.25 and 8,717,790.38

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Solution

The third proportional to 4,144,172.25 and 8,717,790.38 is: 18,338,974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144,172.25 : 8,717,790.38 = 8,717,790.38 : x
  2. Step 2: Convert to fraction form
    4,144,172.25/8,717,790.38 = 8,717,790.38/x
  3. Step 3: Cross multiply
    4,144,172.25x = 8,717,790.38 × 8,717,790.38
  4. Step 4: Simplify right side
    4,144,172.25x = 75,999,869,022,442.64
  5. Step 5: Solve for x
    x = 75,999,869,022,442.64/4,144,172.25
  6. Step 6: Final answer
    x = 18,338,974.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.