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Finding the Third Proportional to 54,541,738 and 117,736,616

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Solution

The third proportional to 54,541,738 and 117,736,616 is: 254,152,347.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,541,738 : 117,736,616 = 117,736,616 : x
  2. Step 2: Convert to fraction form
    54,541,738/117,736,616 = 117,736,616/x
  3. Step 3: Cross multiply
    54,541,738x = 117,736,616 × 117,736,616
  4. Step 4: Simplify right side
    54,541,738x = 13,861,910,747,131,456
  5. Step 5: Solve for x
    x = 13,861,910,747,131,456/54,541,738
  6. Step 6: Final answer
    x = 254,152,347.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.