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Finding the Third Proportional to 13,223,715.75 and 20,035,197

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Solution

The third proportional to 13,223,715.75 and 20,035,197 is: 30,355,244.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223,715.75 : 20,035,197 = 20,035,197 : x
  2. Step 2: Convert to fraction form
    13,223,715.75/20,035,197 = 20,035,197/x
  3. Step 3: Cross multiply
    13,223,715.75x = 20,035,197 × 20,035,197
  4. Step 4: Simplify right side
    13,223,715.75x = 401,409,118,828,809
  5. Step 5: Solve for x
    x = 401,409,118,828,809/13,223,715.75
  6. Step 6: Final answer
    x = 30,355,244.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.