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Finding the Third Proportional to 269,028,108 and 579,316,860

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Solution

The third proportional to 269,028,108 and 579,316,860 is: 1,247,483,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,028,108 : 579,316,860 = 579,316,860 : x
  2. Step 2: Convert to fraction form
    269,028,108/579,316,860 = 579,316,860/x
  3. Step 3: Cross multiply
    269,028,108x = 579,316,860 × 579,316,860
  4. Step 4: Simplify right side
    269,028,108x = 335,608,024,280,259,584
  5. Step 5: Solve for x
    x = 335,608,024,280,259,584/269,028,108
  6. Step 6: Final answer
    x = 1,247,483,122.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.