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Finding the Third Proportional to 6,498,530 and 14,080,696

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Solution

The third proportional to 6,498,530 and 14,080,696 is: 30,509,361.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498,530 : 14,080,696 = 14,080,696 : x
  2. Step 2: Convert to fraction form
    6,498,530/14,080,696 = 14,080,696/x
  3. Step 3: Cross multiply
    6,498,530x = 14,080,696 × 14,080,696
  4. Step 4: Simplify right side
    6,498,530x = 198,265,999,844,416
  5. Step 5: Solve for x
    x = 198,265,999,844,416/6,498,530
  6. Step 6: Final answer
    x = 30,509,361.32

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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.