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Finding the Third Proportional to 41,244,771.75 and 89,583,424.50

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Solution

The third proportional to 41,244,771.75 and 89,583,424.50 is: 194,574,720.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,244,771.75 : 89,583,424.50 = 89,583,424.50 : x
  2. Step 2: Convert to fraction form
    41,244,771.75/89,583,424.50 = 89,583,424.50/x
  3. Step 3: Cross multiply
    41,244,771.75x = 89,583,424.50 × 89,583,424.50
  4. Step 4: Simplify right side
    41,244,771.75x = 8,025,189,945,147,200
  5. Step 5: Solve for x
    x = 8,025,189,945,147,200/41,244,771.75
  6. Step 6: Final answer
    x = 194,574,720.74

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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.