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Finding the Third Proportional to 308,169,156 and 682,783,746

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Solution

The third proportional to 308,169,156 and 682,783,746 is: 1,512,784,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,169,156 : 682,783,746 = 682,783,746 : x
  2. Step 2: Convert to fraction form
    308,169,156/682,783,746 = 682,783,746/x
  3. Step 3: Cross multiply
    308,169,156x = 682,783,746 × 682,783,746
  4. Step 4: Simplify right side
    308,169,156x = 466,193,643,801,792,512
  5. Step 5: Solve for x
    x = 466,193,643,801,792,512/308,169,156
  6. Step 6: Final answer
    x = 1,512,784,893.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.