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Finding the Third Proportional to 4,130,393.50 and 8,947,100

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Solution

The third proportional to 4,130,393.50 and 8,947,100 is: 19,380,864.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130,393.50 : 8,947,100 = 8,947,100 : x
  2. Step 2: Convert to fraction form
    4,130,393.50/8,947,100 = 8,947,100/x
  3. Step 3: Cross multiply
    4,130,393.50x = 8,947,100 × 8,947,100
  4. Step 4: Simplify right side
    4,130,393.50x = 80,050,598,410,000
  5. Step 5: Solve for x
    x = 80,050,598,410,000/4,130,393.50
  6. Step 6: Final answer
    x = 19,380,864.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.