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Finding the Third Proportional to 3,669,198 and 8,633,409

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Solution

The third proportional to 3,669,198 and 8,633,409 is: 20,313,908.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,198 : 8,633,409 = 8,633,409 : x
  2. Step 2: Convert to fraction form
    3,669,198/8,633,409 = 8,633,409/x
  3. Step 3: Cross multiply
    3,669,198x = 8,633,409 × 8,633,409
  4. Step 4: Simplify right side
    3,669,198x = 74,535,750,961,281
  5. Step 5: Solve for x
    x = 74,535,750,961,281/3,669,198
  6. Step 6: Final answer
    x = 20,313,908.10

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.