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Finding the Third Proportional to 227,153,061 and 494,105,472

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Solution

The third proportional to 227,153,061 and 494,105,472 is: 1,074,782,863.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,153,061 : 494,105,472 = 494,105,472 : x
  2. Step 2: Convert to fraction form
    227,153,061/494,105,472 = 494,105,472/x
  3. Step 3: Cross multiply
    227,153,061x = 494,105,472 × 494,105,472
  4. Step 4: Simplify right side
    227,153,061x = 244,140,217,460,342,784
  5. Step 5: Solve for x
    x = 244,140,217,460,342,784/227,153,061
  6. Step 6: Final answer
    x = 1,074,782,863.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.