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Finding the Third Proportional to 69,422,752 and 144,591,576

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Solution

The third proportional to 69,422,752 and 144,591,576 is: 301,150,894.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,422,752 : 144,591,576 = 144,591,576 : x
  2. Step 2: Convert to fraction form
    69,422,752/144,591,576 = 144,591,576/x
  3. Step 3: Cross multiply
    69,422,752x = 144,591,576 × 144,591,576
  4. Step 4: Simplify right side
    69,422,752x = 20,906,723,850,163,776
  5. Step 5: Solve for x
    x = 20,906,723,850,163,776/69,422,752
  6. Step 6: Final answer
    x = 301,150,894.31

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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.