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Finding the Third Proportional to 25,699,096.50 and 35,240,415.75

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Solution

The third proportional to 25,699,096.50 and 35,240,415.75 is: 48,324,146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,699,096.50 : 35,240,415.75 = 35,240,415.75 : x
  2. Step 2: Convert to fraction form
    25,699,096.50/35,240,415.75 = 35,240,415.75/x
  3. Step 3: Cross multiply
    25,699,096.50x = 35,240,415.75 × 35,240,415.75
  4. Step 4: Simplify right side
    25,699,096.50x = 1,241,886,902,232,848
  5. Step 5: Solve for x
    x = 1,241,886,902,232,848/25,699,096.50
  6. Step 6: Final answer
    x = 48,324,146.42

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.