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Finding the Third Proportional to 284,471,927 and 620,631,108

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Solution

The third proportional to 284,471,927 and 620,631,108 is: 1,354,028,062.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,471,927 : 620,631,108 = 620,631,108 : x
  2. Step 2: Convert to fraction form
    284,471,927/620,631,108 = 620,631,108/x
  3. Step 3: Cross multiply
    284,471,927x = 620,631,108 × 620,631,108
  4. Step 4: Simplify right side
    284,471,927x = 385,182,972,217,307,648
  5. Step 5: Solve for x
    x = 385,182,972,217,307,648/284,471,927
  6. Step 6: Final answer
    x = 1,354,028,062.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.