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Finding the Third Proportional to 37,783,451,052 and 87,471,005,166

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Solution

The third proportional to 37,783,451,052 and 87,471,005,166 is: 202,500,738,596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,783,451,052 : 87,471,005,166 = 87,471,005,166 : x
  2. Step 2: Convert to fraction form
    37,783,451,052/87,471,005,166 = 87,471,005,166/x
  3. Step 3: Cross multiply
    37,783,451,052x = 87,471,005,166 × 87,471,005,166
  4. Step 4: Simplify right side
    37,783,451,052x = 7,651,176,744,750,399,094,784
  5. Step 5: Solve for x
    x = 7,651,176,744,750,399,094,784/37,783,451,052
  6. Step 6: Final answer
    x = 202,500,738,596.39

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.