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Finding the Third Proportional to 269,620,012 and 580,771,152

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Solution

The third proportional to 269,620,012 and 580,771,152 is: 1,251,001,839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,620,012 : 580,771,152 = 580,771,152 : x
  2. Step 2: Convert to fraction form
    269,620,012/580,771,152 = 580,771,152/x
  3. Step 3: Cross multiply
    269,620,012x = 580,771,152 × 580,771,152
  4. Step 4: Simplify right side
    269,620,012x = 337,295,130,995,407,104
  5. Step 5: Solve for x
    x = 337,295,130,995,407,104/269,620,012
  6. Step 6: Final answer
    x = 1,251,001,839.56

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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.