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Finding the Third Proportional to 36,968,051 and 82,436,215

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Solution

The third proportional to 36,968,051 and 82,436,215 is: 183,827,098.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,968,051 : 82,436,215 = 82,436,215 : x
  2. Step 2: Convert to fraction form
    36,968,051/82,436,215 = 82,436,215/x
  3. Step 3: Cross multiply
    36,968,051x = 82,436,215 × 82,436,215
  4. Step 4: Simplify right side
    36,968,051x = 6,795,729,543,526,225
  5. Step 5: Solve for x
    x = 6,795,729,543,526,225/36,968,051
  6. Step 6: Final answer
    x = 183,827,098.26

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.