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Finding the Third Proportional to 31,381,036 and 73,280,047

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Solution

The third proportional to 31,381,036 and 73,280,047 is: 171,121,351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,381,036 : 73,280,047 = 73,280,047 : x
  2. Step 2: Convert to fraction form
    31,381,036/73,280,047 = 73,280,047/x
  3. Step 3: Cross multiply
    31,381,036x = 73,280,047 × 73,280,047
  4. Step 4: Simplify right side
    31,381,036x = 5,369,965,288,322,209
  5. Step 5: Solve for x
    x = 5,369,965,288,322,209/31,381,036
  6. Step 6: Final answer
    x = 171,121,351.39

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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.