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Finding the Third Proportional to 2,375,410 and 5,543,650

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Solution

The third proportional to 2,375,410 and 5,543,650 is: 12,937,579.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375,410 : 5,543,650 = 5,543,650 : x
  2. Step 2: Convert to fraction form
    2,375,410/5,543,650 = 5,543,650/x
  3. Step 3: Cross multiply
    2,375,410x = 5,543,650 × 5,543,650
  4. Step 4: Simplify right side
    2,375,410x = 30,732,055,322,500
  5. Step 5: Solve for x
    x = 30,732,055,322,500/2,375,410
  6. Step 6: Final answer
    x = 12,937,579.33

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.