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Finding the Third Proportional to 5,538,906 and 8,128,640.25

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Solution

The third proportional to 5,538,906 and 8,128,640.25 is: 11,929,213.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538,906 : 8,128,640.25 = 8,128,640.25 : x
  2. Step 2: Convert to fraction form
    5,538,906/8,128,640.25 = 8,128,640.25/x
  3. Step 3: Cross multiply
    5,538,906x = 8,128,640.25 × 8,128,640.25
  4. Step 4: Simplify right side
    5,538,906x = 66,074,792,313,920.06
  5. Step 5: Solve for x
    x = 66,074,792,313,920.06/5,538,906
  6. Step 6: Final answer
    x = 11,929,213.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.