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Finding the Third Proportional to 120,577,752 and 261,571,698

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Solution

The third proportional to 120,577,752 and 261,571,698 is: 567,432,648.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,577,752 : 261,571,698 = 261,571,698 : x
  2. Step 2: Convert to fraction form
    120,577,752/261,571,698 = 261,571,698/x
  3. Step 3: Cross multiply
    120,577,752x = 261,571,698 × 261,571,698
  4. Step 4: Simplify right side
    120,577,752x = 68,419,753,194,603,200
  5. Step 5: Solve for x
    x = 68,419,753,194,603,200/120,577,752
  6. Step 6: Final answer
    x = 567,432,648.72

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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.