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Finding the Third Proportional to 51,984,891 and 80,820,409.50

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Solution

The third proportional to 51,984,891 and 80,820,409.50 is: 125,650,712.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,984,891 : 80,820,409.50 = 80,820,409.50 : x
  2. Step 2: Convert to fraction form
    51,984,891/80,820,409.50 = 80,820,409.50/x
  3. Step 3: Cross multiply
    51,984,891x = 80,820,409.50 × 80,820,409.50
  4. Step 4: Simplify right side
    51,984,891x = 6,531,938,591,747,690
  5. Step 5: Solve for x
    x = 6,531,938,591,747,690/51,984,891
  6. Step 6: Final answer
    x = 125,650,712.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.