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Finding the Third Proportional to 22,057,920 and 31,770,144

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Solution

The third proportional to 22,057,920 and 31,770,144 is: 45,758,713.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,057,920 : 31,770,144 = 31,770,144 : x
  2. Step 2: Convert to fraction form
    22,057,920/31,770,144 = 31,770,144/x
  3. Step 3: Cross multiply
    22,057,920x = 31,770,144 × 31,770,144
  4. Step 4: Simplify right side
    22,057,920x = 1,009,342,049,780,736
  5. Step 5: Solve for x
    x = 1,009,342,049,780,736/22,057,920
  6. Step 6: Final answer
    x = 45,758,713.87

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.