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Finding the Third Proportional to 5,216,002 and 11,203,286.50

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Solution

The third proportional to 5,216,002 and 11,203,286.50 is: 24,063,186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216,002 : 11,203,286.50 = 11,203,286.50 : x
  2. Step 2: Convert to fraction form
    5,216,002/11,203,286.50 = 11,203,286.50/x
  3. Step 3: Cross multiply
    5,216,002x = 11,203,286.50 × 11,203,286.50
  4. Step 4: Simplify right side
    5,216,002x = 125,513,628,401,082.25
  5. Step 5: Solve for x
    x = 125,513,628,401,082.25/5,216,002
  6. Step 6: Final answer
    x = 24,063,186.40

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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.