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Finding the Third Proportional to 246,611,144 and 536,635,912

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Solution

The third proportional to 246,611,144 and 536,635,912 is: 1,167,741,641.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,611,144 : 536,635,912 = 536,635,912 : x
  2. Step 2: Convert to fraction form
    246,611,144/536,635,912 = 536,635,912/x
  3. Step 3: Cross multiply
    246,611,144x = 536,635,912 × 536,635,912
  4. Step 4: Simplify right side
    246,611,144x = 287,978,102,048,071,744
  5. Step 5: Solve for x
    x = 287,978,102,048,071,744/246,611,144
  6. Step 6: Final answer
    x = 1,167,741,641.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.