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Finding the Third Proportional to 567,193,252 and 1,231,187,984

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Solution

The third proportional to 567,193,252 and 1,231,187,984 is: 2,672,499,798.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,193,252 : 1,231,187,984 = 1,231,187,984 : x
  2. Step 2: Convert to fraction form
    567,193,252/1,231,187,984 = 1,231,187,984/x
  3. Step 3: Cross multiply
    567,193,252x = 1,231,187,984 × 1,231,187,984
  4. Step 4: Simplify right side
    567,193,252x = 1,515,823,851,945,984,256
  5. Step 5: Solve for x
    x = 1,515,823,851,945,984,256/567,193,252
  6. Step 6: Final answer
    x = 2,672,499,798.97

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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.