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Finding the Third Proportional to 6,998,786 and 14,555,980

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Solution

The third proportional to 6,998,786 and 14,555,980 is: 30,273,329.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998,786 : 14,555,980 = 14,555,980 : x
  2. Step 2: Convert to fraction form
    6,998,786/14,555,980 = 14,555,980/x
  3. Step 3: Cross multiply
    6,998,786x = 14,555,980 × 14,555,980
  4. Step 4: Simplify right side
    6,998,786x = 211,876,553,760,400
  5. Step 5: Solve for x
    x = 211,876,553,760,400/6,998,786
  6. Step 6: Final answer
    x = 30,273,329.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.