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Finding the Third Proportional to 65,383,968 and 138,737,856

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Solution

The third proportional to 65,383,968 and 138,737,856 is: 294,387,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,383,968 : 138,737,856 = 138,737,856 : x
  2. Step 2: Convert to fraction form
    65,383,968/138,737,856 = 138,737,856/x
  3. Step 3: Cross multiply
    65,383,968x = 138,737,856 × 138,737,856
  4. Step 4: Simplify right side
    65,383,968x = 19,248,192,687,476,736
  5. Step 5: Solve for x
    x = 19,248,192,687,476,736/65,383,968
  6. Step 6: Final answer
    x = 294,387,038.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.