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Finding the Third Proportional to 36,968,100 and 82,436,312

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Solution

The third proportional to 36,968,100 and 82,436,312 is: 183,827,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,968,100 : 82,436,312 = 82,436,312 : x
  2. Step 2: Convert to fraction form
    36,968,100/82,436,312 = 82,436,312/x
  3. Step 3: Cross multiply
    36,968,100x = 82,436,312 × 82,436,312
  4. Step 4: Simplify right side
    36,968,100x = 6,795,745,536,161,344
  5. Step 5: Solve for x
    x = 6,795,745,536,161,344/36,968,100
  6. Step 6: Final answer
    x = 183,827,287.21

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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.