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Finding the Third Proportional to 74,025,942 and 160,407,012

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Solution

The third proportional to 74,025,942 and 160,407,012 is: 347,586,383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,025,942 : 160,407,012 = 160,407,012 : x
  2. Step 2: Convert to fraction form
    74,025,942/160,407,012 = 160,407,012/x
  3. Step 3: Cross multiply
    74,025,942x = 160,407,012 × 160,407,012
  4. Step 4: Simplify right side
    74,025,942x = 25,730,409,498,768,144
  5. Step 5: Solve for x
    x = 25,730,409,498,768,144/74,025,942
  6. Step 6: Final answer
    x = 347,586,383.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.