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Finding the Third Proportional to 5,173,002 and 12,194,201

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Solution

The third proportional to 5,173,002 and 12,194,201 is: 28,745,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173,002 : 12,194,201 = 12,194,201 : x
  2. Step 2: Convert to fraction form
    5,173,002/12,194,201 = 12,194,201/x
  3. Step 3: Cross multiply
    5,173,002x = 12,194,201 × 12,194,201
  4. Step 4: Simplify right side
    5,173,002x = 148,698,538,028,401
  5. Step 5: Solve for x
    x = 148,698,538,028,401/5,173,002
  6. Step 6: Final answer
    x = 28,745,115.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.