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Finding the Third Proportional to 17,388,742 and 37,766,864

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Solution

The third proportional to 17,388,742 and 37,766,864 is: 82,026,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,388,742 : 37,766,864 = 37,766,864 : x
  2. Step 2: Convert to fraction form
    17,388,742/37,766,864 = 37,766,864/x
  3. Step 3: Cross multiply
    17,388,742x = 37,766,864 × 37,766,864
  4. Step 4: Simplify right side
    17,388,742x = 1,426,336,016,394,496
  5. Step 5: Solve for x
    x = 1,426,336,016,394,496/17,388,742
  6. Step 6: Final answer
    x = 82,026,406.30

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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.