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Finding the Third Proportional to 47,425,096 and 109,782,271

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Solution

The third proportional to 47,425,096 and 109,782,271 is: 254,130,155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,425,096 : 109,782,271 = 109,782,271 : x
  2. Step 2: Convert to fraction form
    47,425,096/109,782,271 = 109,782,271/x
  3. Step 3: Cross multiply
    47,425,096x = 109,782,271 × 109,782,271
  4. Step 4: Simplify right side
    47,425,096x = 12,052,147,025,917,440
  5. Step 5: Solve for x
    x = 12,052,147,025,917,440/47,425,096
  6. Step 6: Final answer
    x = 254,130,155.60

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