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Finding the Third Proportional to 69,657,472 and 162,661,932

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Solution

The third proportional to 69,657,472 and 162,661,932 is: 379,843,014.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,657,472 : 162,661,932 = 162,661,932 : x
  2. Step 2: Convert to fraction form
    69,657,472/162,661,932 = 162,661,932/x
  3. Step 3: Cross multiply
    69,657,472x = 162,661,932 × 162,661,932
  4. Step 4: Simplify right side
    69,657,472x = 26,458,904,121,972,624
  5. Step 5: Solve for x
    x = 26,458,904,121,972,624/69,657,472
  6. Step 6: Final answer
    x = 379,843,014.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.