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Finding the Third Proportional to 31,347,168 and 45,150,912

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Solution

The third proportional to 31,347,168 and 45,150,912 is: 65,033,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,347,168 : 45,150,912 = 45,150,912 : x
  2. Step 2: Convert to fraction form
    31,347,168/45,150,912 = 45,150,912/x
  3. Step 3: Cross multiply
    31,347,168x = 45,150,912 × 45,150,912
  4. Step 4: Simplify right side
    31,347,168x = 2,038,604,854,431,744
  5. Step 5: Solve for x
    x = 2,038,604,854,431,744/31,347,168
  6. Step 6: Final answer
    x = 65,033,142.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.