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Finding the Third Proportional to 3,771,107,992 and 7,649,744,456

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Solution

The third proportional to 3,771,107,992 and 7,649,744,456 is: 15,517,611,897.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771,107,992 : 7,649,744,456 = 7,649,744,456 : x
  2. Step 2: Convert to fraction form
    3,771,107,992/7,649,744,456 = 7,649,744,456/x
  3. Step 3: Cross multiply
    3,771,107,992x = 7,649,744,456 × 7,649,744,456
  4. Step 4: Simplify right side
    3,771,107,992x = 58,518,590,242,102,738,944
  5. Step 5: Solve for x
    x = 58,518,590,242,102,738,944/3,771,107,992
  6. Step 6: Final answer
    x = 15,517,611,897.15

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.