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Finding the Third Proportional to 5,185,866 and 11,202,630

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Solution

The third proportional to 5,185,866 and 11,202,630 is: 24,200,185.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185,866 : 11,202,630 = 11,202,630 : x
  2. Step 2: Convert to fraction form
    5,185,866/11,202,630 = 11,202,630/x
  3. Step 3: Cross multiply
    5,185,866x = 11,202,630 × 11,202,630
  4. Step 4: Simplify right side
    5,185,866x = 125,498,918,916,900
  5. Step 5: Solve for x
    x = 125,498,918,916,900/5,185,866
  6. Step 6: Final answer
    x = 24,200,185.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.