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Finding the Third Proportional to 260,951,162,014.12 and 561,783,786,532.88

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Solution

The third proportional to 260,951,162,014.12 and 561,783,786,532.88 is: 1,209,425,627,290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,951,162,014.12 : 561,783,786,532.88 = 561,783,786,532.88 : x
  2. Step 2: Convert to fraction form
    260,951,162,014.12/561,783,786,532.88 = 561,783,786,532.88/x
  3. Step 3: Cross multiply
    260,951,162,014.12x = 561,783,786,532.88 × 561,783,786,532.88
  4. Step 4: Simplify right side
    260,951,162,014.12x = 315,601,022,811,220,509,458,432
  5. Step 5: Solve for x
    x = 315,601,022,811,220,509,458,432/260,951,162,014.12
  6. Step 6: Final answer
    x = 1,209,425,627,290.92

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1.5x scale

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.