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Finding the Third Proportional to 6,078,378 and 12,970,320

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Solution

The third proportional to 6,078,378 and 12,970,320 is: 27,676,659.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078,378 : 12,970,320 = 12,970,320 : x
  2. Step 2: Convert to fraction form
    6,078,378/12,970,320 = 12,970,320/x
  3. Step 3: Cross multiply
    6,078,378x = 12,970,320 × 12,970,320
  4. Step 4: Simplify right side
    6,078,378x = 168,229,200,902,400
  5. Step 5: Solve for x
    x = 168,229,200,902,400/6,078,378
  6. Step 6: Final answer
    x = 27,676,659.94

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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.