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Finding the Third Proportional to 2,175,133.50 and 4,665,195

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Solution

The third proportional to 2,175,133.50 and 4,665,195 is: 10,005,843.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175,133.50 : 4,665,195 = 4,665,195 : x
  2. Step 2: Convert to fraction form
    2,175,133.50/4,665,195 = 4,665,195/x
  3. Step 3: Cross multiply
    2,175,133.50x = 4,665,195 × 4,665,195
  4. Step 4: Simplify right side
    2,175,133.50x = 21,764,044,388,025
  5. Step 5: Solve for x
    x = 21,764,044,388,025/2,175,133.50
  6. Step 6: Final answer
    x = 10,005,843.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.