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Finding the Third Proportional to 74,025,944 and 160,407,016

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Solution

The third proportional to 74,025,944 and 160,407,016 is: 347,586,391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,025,944 : 160,407,016 = 160,407,016 : x
  2. Step 2: Convert to fraction form
    74,025,944/160,407,016 = 160,407,016/x
  3. Step 3: Cross multiply
    74,025,944x = 160,407,016 × 160,407,016
  4. Step 4: Simplify right side
    74,025,944x = 25,730,410,782,024,256
  5. Step 5: Solve for x
    x = 25,730,410,782,024,256/74,025,944
  6. Step 6: Final answer
    x = 347,586,391.90

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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.