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Finding the Third Proportional to 31,195,865 and 67,324,104

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Solution

The third proportional to 31,195,865 and 67,324,104 is: 145,292,812.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,195,865 : 67,324,104 = 67,324,104 : x
  2. Step 2: Convert to fraction form
    31,195,865/67,324,104 = 67,324,104/x
  3. Step 3: Cross multiply
    31,195,865x = 67,324,104 × 67,324,104
  4. Step 4: Simplify right side
    31,195,865x = 4,532,534,979,402,816
  5. Step 5: Solve for x
    x = 4,532,534,979,402,816/31,195,865
  6. Step 6: Final answer
    x = 145,292,812.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.