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Finding the Third Proportional to 170,774,001 and 374,457,978

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Solution

The third proportional to 170,774,001 and 374,457,978 is: 821,078,012.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,774,001 : 374,457,978 = 374,457,978 : x
  2. Step 2: Convert to fraction form
    170,774,001/374,457,978 = 374,457,978/x
  3. Step 3: Cross multiply
    170,774,001x = 374,457,978 × 374,457,978
  4. Step 4: Simplify right side
    170,774,001x = 140,218,777,287,848,480
  5. Step 5: Solve for x
    x = 140,218,777,287,848,480/170,774,001
  6. Step 6: Final answer
    x = 821,078,012.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.