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Finding the Third Proportional to 51,016,872,532.50 and 71,811,692,484.75

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Solution

The third proportional to 51,016,872,532.50 and 71,811,692,484.75 is: 101,082,620,739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,016,872,532.50 : 71,811,692,484.75 = 71,811,692,484.75 : x
  2. Step 2: Convert to fraction form
    51,016,872,532.50/71,811,692,484.75 = 71,811,692,484.75/x
  3. Step 3: Cross multiply
    51,016,872,532.50x = 71,811,692,484.75 × 71,811,692,484.75
  4. Step 4: Simplify right side
    51,016,872,532.50x = 5,156,919,177,524,586,479,616
  5. Step 5: Solve for x
    x = 5,156,919,177,524,586,479,616/51,016,872,532.50
  6. Step 6: Final answer
    x = 101,082,620,739.63

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.