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Finding the Third Proportional to 3,123,534 and 6,334,002

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Solution

The third proportional to 3,123,534 and 6,334,002 is: 12,844,291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123,534 : 6,334,002 = 6,334,002 : x
  2. Step 2: Convert to fraction form
    3,123,534/6,334,002 = 6,334,002/x
  3. Step 3: Cross multiply
    3,123,534x = 6,334,002 × 6,334,002
  4. Step 4: Simplify right side
    3,123,534x = 40,119,581,336,004
  5. Step 5: Solve for x
    x = 40,119,581,336,004/3,123,534
  6. Step 6: Final answer
    x = 12,844,291.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.