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Finding the Third Proportional to 36,968,049 and 82,436,211

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Solution

The third proportional to 36,968,049 and 82,436,211 is: 183,827,090.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,968,049 : 82,436,211 = 82,436,211 : x
  2. Step 2: Convert to fraction form
    36,968,049/82,436,211 = 82,436,211/x
  3. Step 3: Cross multiply
    36,968,049x = 82,436,211 × 82,436,211
  4. Step 4: Simplify right side
    36,968,049x = 6,795,728,884,036,521
  5. Step 5: Solve for x
    x = 6,795,728,884,036,521/36,968,049
  6. Step 6: Final answer
    x = 183,827,090.36

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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.