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Finding the Third Proportional to 31,724,864 and 68,052,160

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Solution

The third proportional to 31,724,864 and 68,052,160 is: 145,976,874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,724,864 : 68,052,160 = 68,052,160 : x
  2. Step 2: Convert to fraction form
    31,724,864/68,052,160 = 68,052,160/x
  3. Step 3: Cross multiply
    31,724,864x = 68,052,160 × 68,052,160
  4. Step 4: Simplify right side
    31,724,864x = 4,631,096,480,665,600
  5. Step 5: Solve for x
    x = 4,631,096,480,665,600/31,724,864
  6. Step 6: Final answer
    x = 145,976,874.19

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.