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Finding the Third Proportional to 567,193,308 and 1,231,188,096

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Solution

The third proportional to 567,193,308 and 1,231,188,096 is: 2,672,500,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,193,308 : 1,231,188,096 = 1,231,188,096 : x
  2. Step 2: Convert to fraction form
    567,193,308/1,231,188,096 = 1,231,188,096/x
  3. Step 3: Cross multiply
    567,193,308x = 1,231,188,096 × 1,231,188,096
  4. Step 4: Simplify right side
    567,193,308x = 1,515,824,127,732,105,216
  5. Step 5: Solve for x
    x = 1,515,824,127,732,105,216/567,193,308
  6. Step 6: Final answer
    x = 2,672,500,021.34

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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.