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Finding the Third Proportional to 69,422,713 and 144,591,502

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Solution

The third proportional to 69,422,713 and 144,591,502 is: 301,150,755.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,422,713 : 144,591,502 = 144,591,502 : x
  2. Step 2: Convert to fraction form
    69,422,713/144,591,502 = 144,591,502/x
  3. Step 3: Cross multiply
    69,422,713x = 144,591,502 × 144,591,502
  4. Step 4: Simplify right side
    69,422,713x = 20,906,702,450,616,004
  5. Step 5: Solve for x
    x = 20,906,702,450,616,004/69,422,713
  6. Step 6: Final answer
    x = 301,150,755.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.