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Finding the Third Proportional to 867,474,643.50 and 1,907,135,685

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Solution

The third proportional to 867,474,643.50 and 1,907,135,685 is: 4,192,821,713.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,474,643.50 : 1,907,135,685 = 1,907,135,685 : x
  2. Step 2: Convert to fraction form
    867,474,643.50/1,907,135,685 = 1,907,135,685/x
  3. Step 3: Cross multiply
    867,474,643.50x = 1,907,135,685 × 1,907,135,685
  4. Step 4: Simplify right side
    867,474,643.50x = 3,637,166,521,000,419,328
  5. Step 5: Solve for x
    x = 3,637,166,521,000,419,328/867,474,643.50
  6. Step 6: Final answer
    x = 4,192,821,713.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.