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Finding the Third Proportional to 827,627,136 and 1,379,320,848

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Solution

The third proportional to 827,627,136 and 1,379,320,848 is: 2,298,771,897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,627,136 : 1,379,320,848 = 1,379,320,848 : x
  2. Step 2: Convert to fraction form
    827,627,136/1,379,320,848 = 1,379,320,848/x
  3. Step 3: Cross multiply
    827,627,136x = 1,379,320,848 × 1,379,320,848
  4. Step 4: Simplify right side
    827,627,136x = 1,902,526,001,727,439,104
  5. Step 5: Solve for x
    x = 1,902,526,001,727,439,104/827,627,136
  6. Step 6: Final answer
    x = 2,298,771,897.36

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.