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Finding the Third Proportional to 4,102,974 and 8,901,414

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Solution

The third proportional to 4,102,974 and 8,901,414 is: 19,311,643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102,974 : 8,901,414 = 8,901,414 : x
  2. Step 2: Convert to fraction form
    4,102,974/8,901,414 = 8,901,414/x
  3. Step 3: Cross multiply
    4,102,974x = 8,901,414 × 8,901,414
  4. Step 4: Simplify right side
    4,102,974x = 79,235,171,199,396
  5. Step 5: Solve for x
    x = 79,235,171,199,396/4,102,974
  6. Step 6: Final answer
    x = 19,311,643.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.