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Finding the Third Proportional to 47,425,094 and 109,782,266

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Solution

The third proportional to 47,425,094 and 109,782,266 is: 254,130,143.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,425,094 : 109,782,266 = 109,782,266 : x
  2. Step 2: Convert to fraction form
    47,425,094/109,782,266 = 109,782,266/x
  3. Step 3: Cross multiply
    47,425,094x = 109,782,266 × 109,782,266
  4. Step 4: Simplify right side
    47,425,094x = 12,052,145,928,094,756
  5. Step 5: Solve for x
    x = 12,052,145,928,094,756/47,425,094
  6. Step 6: Final answer
    x = 254,130,143.17

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.