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Finding the Third Proportional to 7,828,786 and 16,960,388

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Solution

The third proportional to 7,828,786 and 16,960,388 is: 36,743,214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828,786 : 16,960,388 = 16,960,388 : x
  2. Step 2: Convert to fraction form
    7,828,786/16,960,388 = 16,960,388/x
  3. Step 3: Cross multiply
    7,828,786x = 16,960,388 × 16,960,388
  4. Step 4: Simplify right side
    7,828,786x = 287,654,761,110,544
  5. Step 5: Solve for x
    x = 287,654,761,110,544/7,828,786
  6. Step 6: Final answer
    x = 36,743,214.22

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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.