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Finding the Third Proportional to 3,325,504,910 and 4,649,251,588

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Solution

The third proportional to 3,325,504,910 and 4,649,251,588 is: 6,499,927,353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,325,504,910 : 4,649,251,588 = 4,649,251,588 : x
  2. Step 2: Convert to fraction form
    3,325,504,910/4,649,251,588 = 4,649,251,588/x
  3. Step 3: Cross multiply
    3,325,504,910x = 4,649,251,588 × 4,649,251,588
  4. Step 4: Simplify right side
    3,325,504,910x = 21,615,540,328,520,523,776
  5. Step 5: Solve for x
    x = 21,615,540,328,520,523,776/3,325,504,910
  6. Step 6: Final answer
    x = 6,499,927,353.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.