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Finding the Third Proportional to 31,835,832 and 68,214,145

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Solution

The third proportional to 31,835,832 and 68,214,145 is: 146,161,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,835,832 : 68,214,145 = 68,214,145 : x
  2. Step 2: Convert to fraction form
    31,835,832/68,214,145 = 68,214,145/x
  3. Step 3: Cross multiply
    31,835,832x = 68,214,145 × 68,214,145
  4. Step 4: Simplify right side
    31,835,832x = 4,653,169,578,081,025
  5. Step 5: Solve for x
    x = 4,653,169,578,081,025/31,835,832
  6. Step 6: Final answer
    x = 146,161,393.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.