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Finding the Third Proportional to 30,644,687,750 and 43,135,668,374

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Solution

The third proportional to 30,644,687,750 and 43,135,668,374 is: 60,718,056,625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,644,687,750 : 43,135,668,374 = 43,135,668,374 : x
  2. Step 2: Convert to fraction form
    30,644,687,750/43,135,668,374 = 43,135,668,374/x
  3. Step 3: Cross multiply
    30,644,687,750x = 43,135,668,374 × 43,135,668,374
  4. Step 4: Simplify right side
    30,644,687,750x = 1,860,685,886,071,703,863,296
  5. Step 5: Solve for x
    x = 1,860,685,886,071,703,863,296/30,644,687,750
  6. Step 6: Final answer
    x = 60,718,056,625.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.