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Finding the Third Proportional to 34,486,114.50 and 57,474,420.75

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Solution

The third proportional to 34,486,114.50 and 57,474,420.75 is: 95,786,640.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,486,114.50 : 57,474,420.75 = 57,474,420.75 : x
  2. Step 2: Convert to fraction form
    34,486,114.50/57,474,420.75 = 57,474,420.75/x
  3. Step 3: Cross multiply
    34,486,114.50x = 57,474,420.75 × 57,474,420.75
  4. Step 4: Simplify right side
    34,486,114.50x = 3,303,309,040,548,030.50
  5. Step 5: Solve for x
    x = 3,303,309,040,548,030.50/34,486,114.50
  6. Step 6: Final answer
    x = 95,786,640.17

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.