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Finding the Third Proportional to 298,576,122,783 and 658,011,569,809

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Solution

The third proportional to 298,576,122,783 and 658,011,569,809 is: 1,450,146,856,911.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,576,122,783 : 658,011,569,809 = 658,011,569,809 : x
  2. Step 2: Convert to fraction form
    298,576,122,783/658,011,569,809 = 658,011,569,809/x
  3. Step 3: Cross multiply
    298,576,122,783x = 658,011,569,809 × 658,011,569,809
  4. Step 4: Simplify right side
    298,576,122,783x = 432,979,226,002,504,491,728,896
  5. Step 5: Solve for x
    x = 432,979,226,002,504,491,728,896/298,576,122,783
  6. Step 6: Final answer
    x = 1,450,146,856,911.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.