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Finding the Third Proportional to 6,178,872.38 and 13,456,206

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Solution

The third proportional to 6,178,872.38 and 13,456,206 is: 29,304,615.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178,872.38 : 13,456,206 = 13,456,206 : x
  2. Step 2: Convert to fraction form
    6,178,872.38/13,456,206 = 13,456,206/x
  3. Step 3: Cross multiply
    6,178,872.38x = 13,456,206 × 13,456,206
  4. Step 4: Simplify right side
    6,178,872.38x = 181,069,479,914,436
  5. Step 5: Solve for x
    x = 181,069,479,914,436/6,178,872.38
  6. Step 6: Final answer
    x = 29,304,615.62

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Why These Related Problems?

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