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Finding the Third Proportional to 21,854,193,178 and 47,022,977,202

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Solution

The third proportional to 21,854,193,178 and 47,022,977,202 is: 101,177,854,836.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854,193,178 : 47,022,977,202 = 47,022,977,202 : x
  2. Step 2: Convert to fraction form
    21,854,193,178/47,022,977,202 = 47,022,977,202/x
  3. Step 3: Cross multiply
    21,854,193,178x = 47,022,977,202 × 47,022,977,202
  4. Step 4: Simplify right side
    21,854,193,178x = 2,211,160,384,939,811,667,968
  5. Step 5: Solve for x
    x = 2,211,160,384,939,811,667,968/21,854,193,178
  6. Step 6: Final answer
    x = 101,177,854,836.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.