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Finding the Third Proportional to 2,296,629 and 5,013,499.50

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Solution

The third proportional to 2,296,629 and 5,013,499.50 is: 10,944,378.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296,629 : 5,013,499.50 = 5,013,499.50 : x
  2. Step 2: Convert to fraction form
    2,296,629/5,013,499.50 = 5,013,499.50/x
  3. Step 3: Cross multiply
    2,296,629x = 5,013,499.50 × 5,013,499.50
  4. Step 4: Simplify right side
    2,296,629x = 25,135,177,236,500.25
  5. Step 5: Solve for x
    x = 25,135,177,236,500.25/2,296,629
  6. Step 6: Final answer
    x = 10,944,378.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.