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Finding the Third Proportional to 51,705,891 and 80,171,764.50

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Solution

The third proportional to 51,705,891 and 80,171,764.50 is: 124,309,081.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,705,891 : 80,171,764.50 = 80,171,764.50 : x
  2. Step 2: Convert to fraction form
    51,705,891/80,171,764.50 = 80,171,764.50/x
  3. Step 3: Cross multiply
    51,705,891x = 80,171,764.50 × 80,171,764.50
  4. Step 4: Simplify right side
    51,705,891x = 6,427,511,823,043,460
  5. Step 5: Solve for x
    x = 6,427,511,823,043,460/51,705,891
  6. Step 6: Final answer
    x = 124,309,081.59

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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.