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Finding the Third Proportional to 246,611,146 and 536,635,916

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Solution

The third proportional to 246,611,146 and 536,635,916 is: 1,167,741,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,611,146 : 536,635,916 = 536,635,916 : x
  2. Step 2: Convert to fraction form
    246,611,146/536,635,916 = 536,635,916/x
  3. Step 3: Cross multiply
    246,611,146x = 536,635,916 × 536,635,916
  4. Step 4: Simplify right side
    246,611,146x = 287,978,106,341,159,040
  5. Step 5: Solve for x
    x = 287,978,106,341,159,040/246,611,146
  6. Step 6: Final answer
    x = 1,167,741,649.20

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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.