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Finding the Third Proportional to 7,936,786 and 17,226,596

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Solution

The third proportional to 7,936,786 and 17,226,596 is: 37,389,896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,936,786 : 17,226,596 = 17,226,596 : x
  2. Step 2: Convert to fraction form
    7,936,786/17,226,596 = 17,226,596/x
  3. Step 3: Cross multiply
    7,936,786x = 17,226,596 × 17,226,596
  4. Step 4: Simplify right side
    7,936,786x = 296,755,609,747,216
  5. Step 5: Solve for x
    x = 296,755,609,747,216/7,936,786
  6. Step 6: Final answer
    x = 37,389,896.84

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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.