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Finding the Third Proportional to 277,078,344 and 602,383,632

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Solution

The third proportional to 277,078,344 and 602,383,632 is: 1,309,615,305.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,078,344 : 602,383,632 = 602,383,632 : x
  2. Step 2: Convert to fraction form
    277,078,344/602,383,632 = 602,383,632/x
  3. Step 3: Cross multiply
    277,078,344x = 602,383,632 × 602,383,632
  4. Step 4: Simplify right side
    277,078,344x = 362,866,040,101,511,424
  5. Step 5: Solve for x
    x = 362,866,040,101,511,424/277,078,344
  6. Step 6: Final answer
    x = 1,309,615,305.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.