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Finding the Third Proportional to 38,521,165 and 85,348,009

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Solution

The third proportional to 38,521,165 and 85,348,009 is: 189,098,191.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,521,165 : 85,348,009 = 85,348,009 : x
  2. Step 2: Convert to fraction form
    38,521,165/85,348,009 = 85,348,009/x
  3. Step 3: Cross multiply
    38,521,165x = 85,348,009 × 85,348,009
  4. Step 4: Simplify right side
    38,521,165x = 7,284,282,640,264,081
  5. Step 5: Solve for x
    x = 7,284,282,640,264,081/38,521,165
  6. Step 6: Final answer
    x = 189,098,191.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.