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Finding the Third Proportional to 10,198,303.50 and 21,912,279

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Solution

The third proportional to 10,198,303.50 and 21,912,279 is: 47,081,161.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198,303.50 : 21,912,279 = 21,912,279 : x
  2. Step 2: Convert to fraction form
    10,198,303.50/21,912,279 = 21,912,279/x
  3. Step 3: Cross multiply
    10,198,303.50x = 21,912,279 × 21,912,279
  4. Step 4: Simplify right side
    10,198,303.50x = 480,147,970,973,841
  5. Step 5: Solve for x
    x = 480,147,970,973,841/10,198,303.50
  6. Step 6: Final answer
    x = 47,081,161.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.