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Finding the Third Proportional to 69,485,573 and 150,408,970

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Solution

The third proportional to 69,485,573 and 150,408,970 is: 325,576,335.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,485,573 : 150,408,970 = 150,408,970 : x
  2. Step 2: Convert to fraction form
    69,485,573/150,408,970 = 150,408,970/x
  3. Step 3: Cross multiply
    69,485,573x = 150,408,970 × 150,408,970
  4. Step 4: Simplify right side
    69,485,573x = 22,622,858,256,460,900
  5. Step 5: Solve for x
    x = 22,622,858,256,460,900/69,485,573
  6. Step 6: Final answer
    x = 325,576,335.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.