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Finding the Third Proportional to 3,097,965.50 and 6,747,100

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Solution

The third proportional to 3,097,965.50 and 6,747,100 is: 14,694,598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,965.50 : 6,747,100 = 6,747,100 : x
  2. Step 2: Convert to fraction form
    3,097,965.50/6,747,100 = 6,747,100/x
  3. Step 3: Cross multiply
    3,097,965.50x = 6,747,100 × 6,747,100
  4. Step 4: Simplify right side
    3,097,965.50x = 45,523,358,410,000
  5. Step 5: Solve for x
    x = 45,523,358,410,000/3,097,965.50
  6. Step 6: Final answer
    x = 14,694,598.25

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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.