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Finding the Third Proportional to 8,124,244.50 and 17,647,017

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Solution

The third proportional to 8,124,244.50 and 17,647,017 is: 38,331,836.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124,244.50 : 17,647,017 = 17,647,017 : x
  2. Step 2: Convert to fraction form
    8,124,244.50/17,647,017 = 17,647,017/x
  3. Step 3: Cross multiply
    8,124,244.50x = 17,647,017 × 17,647,017
  4. Step 4: Simplify right side
    8,124,244.50x = 311,417,208,998,289
  5. Step 5: Solve for x
    x = 311,417,208,998,289/8,124,244.50
  6. Step 6: Final answer
    x = 38,331,836.15

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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.