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Finding the Third Proportional to 284,557,062.66 and 634,542,961.22

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Solution

The third proportional to 284,557,062.66 and 634,542,961.22 is: 1,414,987,791.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,557,062.66 : 634,542,961.22 = 634,542,961.22 : x
  2. Step 2: Convert to fraction form
    284,557,062.66/634,542,961.22 = 634,542,961.22/x
  3. Step 3: Cross multiply
    284,557,062.66x = 634,542,961.22 × 634,542,961.22
  4. Step 4: Simplify right side
    284,557,062.66x = 402,644,769,632,260,096
  5. Step 5: Solve for x
    x = 402,644,769,632,260,096/284,557,062.66
  6. Step 6: Final answer
    x = 1,414,987,791.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.