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Finding the Third Proportional to 4,194,099 and 9,073,701

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Solution

The third proportional to 4,194,099 and 9,073,701 is: 19,630,449.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194,099 : 9,073,701 = 9,073,701 : x
  2. Step 2: Convert to fraction form
    4,194,099/9,073,701 = 9,073,701/x
  3. Step 3: Cross multiply
    4,194,099x = 9,073,701 × 9,073,701
  4. Step 4: Simplify right side
    4,194,099x = 82,332,049,837,401
  5. Step 5: Solve for x
    x = 82,332,049,837,401/4,194,099
  6. Step 6: Final answer
    x = 19,630,449.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.