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Finding the Third Proportional to 54,137,828 and 116,904,872

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Solution

The third proportional to 54,137,828 and 116,904,872 is: 252,443,616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,137,828 : 116,904,872 = 116,904,872 : x
  2. Step 2: Convert to fraction form
    54,137,828/116,904,872 = 116,904,872/x
  3. Step 3: Cross multiply
    54,137,828x = 116,904,872 × 116,904,872
  4. Step 4: Simplify right side
    54,137,828x = 13,666,749,097,336,384
  5. Step 5: Solve for x
    x = 13,666,749,097,336,384/54,137,828
  6. Step 6: Final answer
    x = 252,443,616.64

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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.