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Finding the Third Proportional to 47,425,090 and 109,782,256

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Solution

The third proportional to 47,425,090 and 109,782,256 is: 254,130,118.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,425,090 : 109,782,256 = 109,782,256 : x
  2. Step 2: Convert to fraction form
    47,425,090/109,782,256 = 109,782,256/x
  3. Step 3: Cross multiply
    47,425,090x = 109,782,256 × 109,782,256
  4. Step 4: Simplify right side
    47,425,090x = 12,052,143,732,449,536
  5. Step 5: Solve for x
    x = 12,052,143,732,449,536/47,425,090
  6. Step 6: Final answer
    x = 254,130,118.31

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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.