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Finding the Third Proportional to 51,935,809.50 and 80,738,802

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Solution

The third proportional to 51,935,809.50 and 80,738,802 is: 125,515,597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,935,809.50 : 80,738,802 = 80,738,802 : x
  2. Step 2: Convert to fraction form
    51,935,809.50/80,738,802 = 80,738,802/x
  3. Step 3: Cross multiply
    51,935,809.50x = 80,738,802 × 80,738,802
  4. Step 4: Simplify right side
    51,935,809.50x = 6,518,754,148,395,204
  5. Step 5: Solve for x
    x = 6,518,754,148,395,204/51,935,809.50
  6. Step 6: Final answer
    x = 125,515,597.26

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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.