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Finding the Third Proportional to 633,467,728 and 1,324,853,688

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Solution

The third proportional to 633,467,728 and 1,324,853,688 is: 2,770,839,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,467,728 : 1,324,853,688 = 1,324,853,688 : x
  2. Step 2: Convert to fraction form
    633,467,728/1,324,853,688 = 1,324,853,688/x
  3. Step 3: Cross multiply
    633,467,728x = 1,324,853,688 × 1,324,853,688
  4. Step 4: Simplify right side
    633,467,728x = 1,755,237,294,607,201,280
  5. Step 5: Solve for x
    x = 1,755,237,294,607,201,280/633,467,728
  6. Step 6: Final answer
    x = 2,770,839,329.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.