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Finding the Third Proportional to 4,217,429,847.50 and 8,783,933,873

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Solution

The third proportional to 4,217,429,847.50 and 8,783,933,873 is: 18,294,908,765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217,429,847.50 : 8,783,933,873 = 8,783,933,873 : x
  2. Step 2: Convert to fraction form
    4,217,429,847.50/8,783,933,873 = 8,783,933,873/x
  3. Step 3: Cross multiply
    4,217,429,847.50x = 8,783,933,873 × 8,783,933,873
  4. Step 4: Simplify right side
    4,217,429,847.50x = 77,157,494,285,236,781,056
  5. Step 5: Solve for x
    x = 77,157,494,285,236,781,056/4,217,429,847.50
  6. Step 6: Final answer
    x = 18,294,908,765.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.