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Finding the Third Proportional to 20,534,844 and 30,738,296

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Solution

The third proportional to 20,534,844 and 30,738,296 is: 46,011,688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,534,844 : 30,738,296 = 30,738,296 : x
  2. Step 2: Convert to fraction form
    20,534,844/30,738,296 = 30,738,296/x
  3. Step 3: Cross multiply
    20,534,844x = 30,738,296 × 30,738,296
  4. Step 4: Simplify right side
    20,534,844x = 944,842,840,983,616
  5. Step 5: Solve for x
    x = 944,842,840,983,616/20,534,844
  6. Step 6: Final answer
    x = 46,011,688.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.