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Finding the Third Proportional to 4,883,712 and 7,471,296

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Solution

The third proportional to 4,883,712 and 7,471,296 is: 11,429,884.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,883,712 : 7,471,296 = 7,471,296 : x
  2. Step 2: Convert to fraction form
    4,883,712/7,471,296 = 7,471,296/x
  3. Step 3: Cross multiply
    4,883,712x = 7,471,296 × 7,471,296
  4. Step 4: Simplify right side
    4,883,712x = 55,820,263,919,616
  5. Step 5: Solve for x
    x = 55,820,263,919,616/4,883,712
  6. Step 6: Final answer
    x = 11,429,884.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.