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Finding the Third Proportional to 36,968,088 and 82,436,288

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Solution

The third proportional to 36,968,088 and 82,436,288 is: 183,827,239.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,968,088 : 82,436,288 = 82,436,288 : x
  2. Step 2: Convert to fraction form
    36,968,088/82,436,288 = 82,436,288/x
  3. Step 3: Cross multiply
    36,968,088x = 82,436,288 × 82,436,288
  4. Step 4: Simplify right side
    36,968,088x = 6,795,741,579,218,944
  5. Step 5: Solve for x
    x = 6,795,741,579,218,944/36,968,088
  6. Step 6: Final answer
    x = 183,827,239.84

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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.