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Finding the Third Proportional to 6,398,622 and 13,694,051

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Solution

The third proportional to 6,398,622 and 13,694,051 is: 29,307,409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398,622 : 13,694,051 = 13,694,051 : x
  2. Step 2: Convert to fraction form
    6,398,622/13,694,051 = 13,694,051/x
  3. Step 3: Cross multiply
    6,398,622x = 13,694,051 × 13,694,051
  4. Step 4: Simplify right side
    6,398,622x = 187,527,032,790,601
  5. Step 5: Solve for x
    x = 187,527,032,790,601/6,398,622
  6. Step 6: Final answer
    x = 29,307,409.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.