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Finding the Third Proportional to 7,143,610 and 10,731,615

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Solution

The third proportional to 7,143,610 and 10,731,615 is: 16,121,759.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143,610 : 10,731,615 = 10,731,615 : x
  2. Step 2: Convert to fraction form
    7,143,610/10,731,615 = 10,731,615/x
  3. Step 3: Cross multiply
    7,143,610x = 10,731,615 × 10,731,615
  4. Step 4: Simplify right side
    7,143,610x = 115,167,560,508,225
  5. Step 5: Solve for x
    x = 115,167,560,508,225/7,143,610
  6. Step 6: Final answer
    x = 16,121,759.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.