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Finding the Third Proportional to 37,783,451,056 and 87,471,005,176

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Solution

The third proportional to 37,783,451,056 and 87,471,005,176 is: 202,500,738,621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,783,451,056 : 87,471,005,176 = 87,471,005,176 : x
  2. Step 2: Convert to fraction form
    37,783,451,056/87,471,005,176 = 87,471,005,176/x
  3. Step 3: Cross multiply
    37,783,451,056x = 87,471,005,176 × 87,471,005,176
  4. Step 4: Simplify right side
    37,783,451,056x = 7,651,176,746,499,819,175,936
  5. Step 5: Solve for x
    x = 7,651,176,746,499,819,175,936/37,783,451,056
  6. Step 6: Final answer
    x = 202,500,738,621.25

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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.