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Finding the Third Proportional to 31,823,559 and 68,718,042

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Solution

The third proportional to 31,823,559 and 68,718,042 is: 148,385,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,823,559 : 68,718,042 = 68,718,042 : x
  2. Step 2: Convert to fraction form
    31,823,559/68,718,042 = 68,718,042/x
  3. Step 3: Cross multiply
    31,823,559x = 68,718,042 × 68,718,042
  4. Step 4: Simplify right side
    31,823,559x = 4,722,169,296,313,764
  5. Step 5: Solve for x
    x = 4,722,169,296,313,764/31,823,559
  6. Step 6: Final answer
    x = 148,385,958.22

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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.