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Finding the Third Proportional to 38,478,096 and 84,651,678

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Solution

The third proportional to 38,478,096 and 84,651,678 is: 186,233,398.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,478,096 : 84,651,678 = 84,651,678 : x
  2. Step 2: Convert to fraction form
    38,478,096/84,651,678 = 84,651,678/x
  3. Step 3: Cross multiply
    38,478,096x = 84,651,678 × 84,651,678
  4. Step 4: Simplify right side
    38,478,096x = 7,165,906,588,215,684
  5. Step 5: Solve for x
    x = 7,165,906,588,215,684/38,478,096
  6. Step 6: Final answer
    x = 186,233,398.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.