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Finding the Third Proportional to 127,885,865,175 and 275,167,983,291

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Solution

The third proportional to 127,885,865,175 and 275,167,983,291 is: 592,070,272,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,885,865,175 : 275,167,983,291 = 275,167,983,291 : x
  2. Step 2: Convert to fraction form
    127,885,865,175/275,167,983,291 = 275,167,983,291/x
  3. Step 3: Cross multiply
    127,885,865,175x = 275,167,983,291 × 275,167,983,291
  4. Step 4: Simplify right side
    127,885,865,175x = 75,717,419,028,436,058,374,144
  5. Step 5: Solve for x
    x = 75,717,419,028,436,058,374,144/127,885,865,175
  6. Step 6: Final answer
    x = 592,070,272,385.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.