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Finding the Third Proportional to 5,414,184 and 7,617,612

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Solution

The third proportional to 5,414,184 and 7,617,612 is: 10,717,776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414,184 : 7,617,612 = 7,617,612 : x
  2. Step 2: Convert to fraction form
    5,414,184/7,617,612 = 7,617,612/x
  3. Step 3: Cross multiply
    5,414,184x = 7,617,612 × 7,617,612
  4. Step 4: Simplify right side
    5,414,184x = 58,028,012,582,544
  5. Step 5: Solve for x
    x = 58,028,012,582,544/5,414,184
  6. Step 6: Final answer
    x = 10,717,776.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.