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Finding the Third Proportional to 5,410,048.50 and 8,098,116.75

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Solution

The third proportional to 5,410,048.50 and 8,098,116.75 is: 12,121,794.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410,048.50 : 8,098,116.75 = 8,098,116.75 : x
  2. Step 2: Convert to fraction form
    5,410,048.50/8,098,116.75 = 8,098,116.75/x
  3. Step 3: Cross multiply
    5,410,048.50x = 8,098,116.75 × 8,098,116.75
  4. Step 4: Simplify right side
    5,410,048.50x = 65,579,494,896,630.56
  5. Step 5: Solve for x
    x = 65,579,494,896,630.56/5,410,048.50
  6. Step 6: Final answer
    x = 12,121,794.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.