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Finding the Third Proportional to 2,660,419,176 and 3,741,701,576

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Solution

The third proportional to 2,660,419,176 and 3,741,701,576 is: 5,262,452,928.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660,419,176 : 3,741,701,576 = 3,741,701,576 : x
  2. Step 2: Convert to fraction form
    2,660,419,176/3,741,701,576 = 3,741,701,576/x
  3. Step 3: Cross multiply
    2,660,419,176x = 3,741,701,576 × 3,741,701,576
  4. Step 4: Simplify right side
    2,660,419,176x = 14,000,330,683,840,884,736
  5. Step 5: Solve for x
    x = 14,000,330,683,840,884,736/2,660,419,176
  6. Step 6: Final answer
    x = 5,262,452,928.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.