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Finding the Third Proportional to 5,141,357,176 and 7,104,187,638

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Solution

The third proportional to 5,141,357,176 and 7,104,187,638 is: 9,816,373,433.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141,357,176 : 7,104,187,638 = 7,104,187,638 : x
  2. Step 2: Convert to fraction form
    5,141,357,176/7,104,187,638 = 7,104,187,638/x
  3. Step 3: Cross multiply
    5,141,357,176x = 7,104,187,638 × 7,104,187,638
  4. Step 4: Simplify right side
    5,141,357,176x = 50,469,481,995,912,019,968
  5. Step 5: Solve for x
    x = 50,469,481,995,912,019,968/5,141,357,176
  6. Step 6: Final answer
    x = 9,816,373,433.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.