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Finding the Third Proportional to 36,968,016 and 82,436,160

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Solution

The third proportional to 36,968,016 and 82,436,160 is: 183,827,027.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,968,016 : 82,436,160 = 82,436,160 : x
  2. Step 2: Convert to fraction form
    36,968,016/82,436,160 = 82,436,160/x
  3. Step 3: Cross multiply
    36,968,016x = 82,436,160 × 82,436,160
  4. Step 4: Simplify right side
    36,968,016x = 6,795,720,475,545,600
  5. Step 5: Solve for x
    x = 6,795,720,475,545,600/36,968,016
  6. Step 6: Final answer
    x = 183,827,027.00

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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.