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Finding the Third Proportional to 31,003,062 and 72,414,096

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Solution

The third proportional to 31,003,062 and 72,414,096 is: 169,138,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,003,062 : 72,414,096 = 72,414,096 : x
  2. Step 2: Convert to fraction form
    31,003,062/72,414,096 = 72,414,096/x
  3. Step 3: Cross multiply
    31,003,062x = 72,414,096 × 72,414,096
  4. Step 4: Simplify right side
    31,003,062x = 5,243,801,299,497,216
  5. Step 5: Solve for x
    x = 5,243,801,299,497,216/31,003,062
  6. Step 6: Final answer
    x = 169,138,174.14

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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.