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Finding the Third Proportional to 120,577,756 and 261,571,706

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Solution

The third proportional to 120,577,756 and 261,571,706 is: 567,432,664.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,577,756 : 261,571,706 = 261,571,706 : x
  2. Step 2: Convert to fraction form
    120,577,756/261,571,706 = 261,571,706/x
  3. Step 3: Cross multiply
    120,577,756x = 261,571,706 × 261,571,706
  4. Step 4: Simplify right side
    120,577,756x = 68,419,757,379,750,432
  5. Step 5: Solve for x
    x = 68,419,757,379,750,432/120,577,756
  6. Step 6: Final answer
    x = 567,432,664.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.