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Finding the Third Proportional to 3,321,961,218 and 7,841,802,632

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Solution

The third proportional to 3,321,961,218 and 7,841,802,632 is: 18,511,314,396.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321,961,218 : 7,841,802,632 = 7,841,802,632 : x
  2. Step 2: Convert to fraction form
    3,321,961,218/7,841,802,632 = 7,841,802,632/x
  3. Step 3: Cross multiply
    3,321,961,218x = 7,841,802,632 × 7,841,802,632
  4. Step 4: Simplify right side
    3,321,961,218x = 61,493,868,519,242,129,408
  5. Step 5: Solve for x
    x = 61,493,868,519,242,129,408/3,321,961,218
  6. Step 6: Final answer
    x = 18,511,314,396.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.