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Finding the Third Proportional to 17,388,724 and 37,766,816

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Solution

The third proportional to 17,388,724 and 37,766,816 is: 82,026,282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,388,724 : 37,766,816 = 37,766,816 : x
  2. Step 2: Convert to fraction form
    17,388,724/37,766,816 = 37,766,816/x
  3. Step 3: Cross multiply
    17,388,724x = 37,766,816 × 37,766,816
  4. Step 4: Simplify right side
    17,388,724x = 1,426,332,390,777,856
  5. Step 5: Solve for x
    x = 1,426,332,390,777,856/17,388,724
  6. Step 6: Final answer
    x = 82,026,282.71

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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.