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Finding the Third Proportional to 6,727,007 and 14,350,927

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Solution

The third proportional to 6,727,007 and 14,350,927 is: 30,615,265.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727,007 : 14,350,927 = 14,350,927 : x
  2. Step 2: Convert to fraction form
    6,727,007/14,350,927 = 14,350,927/x
  3. Step 3: Cross multiply
    6,727,007x = 14,350,927 × 14,350,927
  4. Step 4: Simplify right side
    6,727,007x = 205,949,105,759,329
  5. Step 5: Solve for x
    x = 205,949,105,759,329/6,727,007
  6. Step 6: Final answer
    x = 30,615,265.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.