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Finding the Third Proportional to 38,036,640 and 82,272,672

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Solution

The third proportional to 38,036,640 and 82,272,672 is: 177,954,534.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,036,640 : 82,272,672 = 82,272,672 : x
  2. Step 2: Convert to fraction form
    38,036,640/82,272,672 = 82,272,672/x
  3. Step 3: Cross multiply
    38,036,640x = 82,272,672 × 82,272,672
  4. Step 4: Simplify right side
    38,036,640x = 6,768,792,558,019,584
  5. Step 5: Solve for x
    x = 6,768,792,558,019,584/38,036,640
  6. Step 6: Final answer
    x = 177,954,534.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.