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Finding the Third Proportional to 3,117,634 and 7,284,201

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Solution

The third proportional to 3,117,634 and 7,284,201 is: 17,019,183.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117,634 : 7,284,201 = 7,284,201 : x
  2. Step 2: Convert to fraction form
    3,117,634/7,284,201 = 7,284,201/x
  3. Step 3: Cross multiply
    3,117,634x = 7,284,201 × 7,284,201
  4. Step 4: Simplify right side
    3,117,634x = 53,059,584,208,401
  5. Step 5: Solve for x
    x = 53,059,584,208,401/3,117,634
  6. Step 6: Final answer
    x = 17,019,183.20

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.