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Finding the Third Proportional to 38,351,220 and 82,086,972

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Solution

The third proportional to 38,351,220 and 82,086,972 is: 175,698,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,351,220 : 82,086,972 = 82,086,972 : x
  2. Step 2: Convert to fraction form
    38,351,220/82,086,972 = 82,086,972/x
  3. Step 3: Cross multiply
    38,351,220x = 82,086,972 × 82,086,972
  4. Step 4: Simplify right side
    38,351,220x = 6,738,270,972,128,784
  5. Step 5: Solve for x
    x = 6,738,270,972,128,784/38,351,220
  6. Step 6: Final answer
    x = 175,698,999.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.