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Finding the Third Proportional to 57,540,096 and 123,242,076

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Solution

The third proportional to 57,540,096 and 123,242,076 is: 263,965,657.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,540,096 : 123,242,076 = 123,242,076 : x
  2. Step 2: Convert to fraction form
    57,540,096/123,242,076 = 123,242,076/x
  3. Step 3: Cross multiply
    57,540,096x = 123,242,076 × 123,242,076
  4. Step 4: Simplify right side
    57,540,096x = 15,188,609,296,789,776
  5. Step 5: Solve for x
    x = 15,188,609,296,789,776/57,540,096
  6. Step 6: Final answer
    x = 263,965,657.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.