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Finding the Third Proportional to 3,097,970 and 6,747,112

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Solution

The third proportional to 3,097,970 and 6,747,112 is: 14,694,629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,970 : 6,747,112 = 6,747,112 : x
  2. Step 2: Convert to fraction form
    3,097,970/6,747,112 = 6,747,112/x
  3. Step 3: Cross multiply
    3,097,970x = 6,747,112 × 6,747,112
  4. Step 4: Simplify right side
    3,097,970x = 45,523,520,340,544
  5. Step 5: Solve for x
    x = 45,523,520,340,544/3,097,970
  6. Step 6: Final answer
    x = 14,694,629.17

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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.