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Finding the Third Proportional to 3,263,530.50 and 7,107,709.50

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Solution

The third proportional to 3,263,530.50 and 7,107,709.50 is: 15,480,025.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263,530.50 : 7,107,709.50 = 7,107,709.50 : x
  2. Step 2: Convert to fraction form
    3,263,530.50/7,107,709.50 = 7,107,709.50/x
  3. Step 3: Cross multiply
    3,263,530.50x = 7,107,709.50 × 7,107,709.50
  4. Step 4: Simplify right side
    3,263,530.50x = 50,519,534,336,390.25
  5. Step 5: Solve for x
    x = 50,519,534,336,390.25/3,263,530.50
  6. Step 6: Final answer
    x = 15,480,025.19

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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.