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Finding the Third Proportional to 31,555,632,020,319 and 67,860,278,151,372

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Solution

The third proportional to 31,555,632,020,319 and 67,860,278,151,372 is: 145,933,294,817,747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,555,632,020,319 : 67,860,278,151,372 = 67,860,278,151,372 : x
  2. Step 2: Convert to fraction form
    31,555,632,020,319/67,860,278,151,372 = 67,860,278,151,372/x
  3. Step 3: Cross multiply
    31,555,632,020,319x = 67,860,278,151,372 × 67,860,278,151,372
  4. Step 4: Simplify right side
    31,555,632,020,319x = 4,605,017,350,781,575,970,382,938,112
  5. Step 5: Solve for x
    x = 4,605,017,350,781,575,970,382,938,112/31,555,632,020,319
  6. Step 6: Final answer
    x = 145,933,294,817,747.81

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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.