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Finding the Third Proportional to 3,194,214 and 6,966,502

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Solution

The third proportional to 3,194,214 and 6,966,502 is: 15,193,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,214 : 6,966,502 = 6,966,502 : x
  2. Step 2: Convert to fraction form
    3,194,214/6,966,502 = 6,966,502/x
  3. Step 3: Cross multiply
    3,194,214x = 6,966,502 × 6,966,502
  4. Step 4: Simplify right side
    3,194,214x = 48,532,150,116,004
  5. Step 5: Solve for x
    x = 48,532,150,116,004/3,194,214
  6. Step 6: Final answer
    x = 15,193,769.15

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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.