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Finding the Third Proportional to 3,049,974 and 6,602,049

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Solution

The third proportional to 3,049,974 and 6,602,049 is: 14,290,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049,974 : 6,602,049 = 6,602,049 : x
  2. Step 2: Convert to fraction form
    3,049,974/6,602,049 = 6,602,049/x
  3. Step 3: Cross multiply
    3,049,974x = 6,602,049 × 6,602,049
  4. Step 4: Simplify right side
    3,049,974x = 43,587,050,998,401
  5. Step 5: Solve for x
    x = 43,587,050,998,401/3,049,974
  6. Step 6: Final answer
    x = 14,290,958.22

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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.