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Finding the Third Proportional to 5,219,728 and 11,460,716

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Solution

The third proportional to 5,219,728 and 11,460,716 is: 25,163,765.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219,728 : 11,460,716 = 11,460,716 : x
  2. Step 2: Convert to fraction form
    5,219,728/11,460,716 = 11,460,716/x
  3. Step 3: Cross multiply
    5,219,728x = 11,460,716 × 11,460,716
  4. Step 4: Simplify right side
    5,219,728x = 131,348,011,232,656
  5. Step 5: Solve for x
    x = 131,348,011,232,656/5,219,728
  6. Step 6: Final answer
    x = 25,163,765.47

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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.