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Finding the Third Proportional to 6,301,344 and 13,743,006

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Solution

The third proportional to 6,301,344 and 13,743,006 is: 29,973,004.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301,344 : 13,743,006 = 13,743,006 : x
  2. Step 2: Convert to fraction form
    6,301,344/13,743,006 = 13,743,006/x
  3. Step 3: Cross multiply
    6,301,344x = 13,743,006 × 13,743,006
  4. Step 4: Simplify right side
    6,301,344x = 188,870,213,916,036
  5. Step 5: Solve for x
    x = 188,870,213,916,036/6,301,344
  6. Step 6: Final answer
    x = 29,973,004.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.