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Finding the Third Proportional to 6,642,684 and 14,304,152

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Solution

The third proportional to 6,642,684 and 14,304,152 is: 30,802,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642,684 : 14,304,152 = 14,304,152 : x
  2. Step 2: Convert to fraction form
    6,642,684/14,304,152 = 14,304,152/x
  3. Step 3: Cross multiply
    6,642,684x = 14,304,152 × 14,304,152
  4. Step 4: Simplify right side
    6,642,684x = 204,608,764,439,104
  5. Step 5: Solve for x
    x = 204,608,764,439,104/6,642,684
  6. Step 6: Final answer
    x = 30,802,122.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.