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Finding the Third Proportional to 34,293,921 and 73,972,218

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Solution

The third proportional to 34,293,921 and 73,972,218 is: 159,558,571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,293,921 : 73,972,218 = 73,972,218 : x
  2. Step 2: Convert to fraction form
    34,293,921/73,972,218 = 73,972,218/x
  3. Step 3: Cross multiply
    34,293,921x = 73,972,218 × 73,972,218
  4. Step 4: Simplify right side
    34,293,921x = 5,471,889,035,839,524
  5. Step 5: Solve for x
    x = 5,471,889,035,839,524/34,293,921
  6. Step 6: Final answer
    x = 159,558,571.21

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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.