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Finding the Third Proportional to 5,704,896 and 12,529,392

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Solution

The third proportional to 5,704,896 and 12,529,392 is: 27,517,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704,896 : 12,529,392 = 12,529,392 : x
  2. Step 2: Convert to fraction form
    5,704,896/12,529,392 = 12,529,392/x
  3. Step 3: Cross multiply
    5,704,896x = 12,529,392 × 12,529,392
  4. Step 4: Simplify right side
    5,704,896x = 156,985,663,889,664
  5. Step 5: Solve for x
    x = 156,985,663,889,664/5,704,896
  6. Step 6: Final answer
    x = 27,517,708.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.