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Finding the Third Proportional to 74,945,106 and 167,122,512

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Solution

The third proportional to 74,945,106 and 167,122,512 is: 372,671,886.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,945,106 : 167,122,512 = 167,122,512 : x
  2. Step 2: Convert to fraction form
    74,945,106/167,122,512 = 167,122,512/x
  3. Step 3: Cross multiply
    74,945,106x = 167,122,512 × 167,122,512
  4. Step 4: Simplify right side
    74,945,106x = 27,929,934,017,190,144
  5. Step 5: Solve for x
    x = 27,929,934,017,190,144/74,945,106
  6. Step 6: Final answer
    x = 372,671,886.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.