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Finding the Third Proportional to 6,499,676 and 14,084,100

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Solution

The third proportional to 6,499,676 and 14,084,100 is: 30,518,732.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499,676 : 14,084,100 = 14,084,100 : x
  2. Step 2: Convert to fraction form
    6,499,676/14,084,100 = 14,084,100/x
  3. Step 3: Cross multiply
    6,499,676x = 14,084,100 × 14,084,100
  4. Step 4: Simplify right side
    6,499,676x = 198,361,872,810,000
  5. Step 5: Solve for x
    x = 198,361,872,810,000/6,499,676
  6. Step 6: Final answer
    x = 30,518,732.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.