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Finding the Third Proportional to 69,040,016 and 148,839,996

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Solution

The third proportional to 69,040,016 and 148,839,996 is: 320,876,872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,040,016 : 148,839,996 = 148,839,996 : x
  2. Step 2: Convert to fraction form
    69,040,016/148,839,996 = 148,839,996/x
  3. Step 3: Cross multiply
    69,040,016x = 148,839,996 × 148,839,996
  4. Step 4: Simplify right side
    69,040,016x = 22,153,344,409,280,016
  5. Step 5: Solve for x
    x = 22,153,344,409,280,016/69,040,016
  6. Step 6: Final answer
    x = 320,876,872.47

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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.