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Finding the Third Proportional to 3,194,209 and 6,966,493

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Solution

The third proportional to 3,194,209 and 6,966,493 is: 15,193,753.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,209 : 6,966,493 = 6,966,493 : x
  2. Step 2: Convert to fraction form
    3,194,209/6,966,493 = 6,966,493/x
  3. Step 3: Cross multiply
    3,194,209x = 6,966,493 × 6,966,493
  4. Step 4: Simplify right side
    3,194,209x = 48,532,024,719,049
  5. Step 5: Solve for x
    x = 48,532,024,719,049/3,194,209
  6. Step 6: Final answer
    x = 15,193,753.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.