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Finding the Third Proportional to 38,514,744 and 84,586,608

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Solution

The third proportional to 38,514,744 and 84,586,608 is: 185,770,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,514,744 : 84,586,608 = 84,586,608 : x
  2. Step 2: Convert to fraction form
    38,514,744/84,586,608 = 84,586,608/x
  3. Step 3: Cross multiply
    38,514,744x = 84,586,608 × 84,586,608
  4. Step 4: Simplify right side
    38,514,744x = 7,154,894,252,945,664
  5. Step 5: Solve for x
    x = 7,154,894,252,945,664/38,514,744
  6. Step 6: Final answer
    x = 185,770,266.39

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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.