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Finding the Third Proportional to 31,250,509 and 68,551,962

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Solution

The third proportional to 31,250,509 and 68,551,962 is: 150,377,438.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,250,509 : 68,551,962 = 68,551,962 : x
  2. Step 2: Convert to fraction form
    31,250,509/68,551,962 = 68,551,962/x
  3. Step 3: Cross multiply
    31,250,509x = 68,551,962 × 68,551,962
  4. Step 4: Simplify right side
    31,250,509x = 4,699,371,494,049,444
  5. Step 5: Solve for x
    x = 4,699,371,494,049,444/31,250,509
  6. Step 6: Final answer
    x = 150,377,438.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.