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Finding the Third Proportional to 2,747,434 and 6,042,980

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Solution

The third proportional to 2,747,434 and 6,042,980 is: 13,291,532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747,434 : 6,042,980 = 6,042,980 : x
  2. Step 2: Convert to fraction form
    2,747,434/6,042,980 = 6,042,980/x
  3. Step 3: Cross multiply
    2,747,434x = 6,042,980 × 6,042,980
  4. Step 4: Simplify right side
    2,747,434x = 36,517,607,280,400
  5. Step 5: Solve for x
    x = 36,517,607,280,400/2,747,434
  6. Step 6: Final answer
    x = 13,291,532.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.