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Finding the Third Proportional to 31,381,034 and 73,280,042

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Solution

The third proportional to 31,381,034 and 73,280,042 is: 171,121,338.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,381,034 : 73,280,042 = 73,280,042 : x
  2. Step 2: Convert to fraction form
    31,381,034/73,280,042 = 73,280,042/x
  3. Step 3: Cross multiply
    31,381,034x = 73,280,042 × 73,280,042
  4. Step 4: Simplify right side
    31,381,034x = 5,369,964,555,521,764
  5. Step 5: Solve for x
    x = 5,369,964,555,521,764/31,381,034
  6. Step 6: Final answer
    x = 171,121,338.94

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