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Finding the Third Proportional to 6,078,380 and 12,970,324

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Solution

The third proportional to 6,078,380 and 12,970,324 is: 27,676,667.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078,380 : 12,970,324 = 12,970,324 : x
  2. Step 2: Convert to fraction form
    6,078,380/12,970,324 = 12,970,324/x
  3. Step 3: Cross multiply
    6,078,380x = 12,970,324 × 12,970,324
  4. Step 4: Simplify right side
    6,078,380x = 168,229,304,664,976
  5. Step 5: Solve for x
    x = 168,229,304,664,976/6,078,380
  6. Step 6: Final answer
    x = 27,676,667.91

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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.