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Finding the Third Proportional to 692,632,174.50 and 1,073,389,163.06

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Solution

The third proportional to 692,632,174.50 and 1,073,389,163.06 is: 1,663,457,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,632,174.50 : 1,073,389,163.06 = 1,073,389,163.06 : x
  2. Step 2: Convert to fraction form
    692,632,174.50/1,073,389,163.06 = 1,073,389,163.06/x
  3. Step 3: Cross multiply
    692,632,174.50x = 1,073,389,163.06 × 1,073,389,163.06
  4. Step 4: Simplify right side
    692,632,174.50x = 1,152,164,295,380,014,208
  5. Step 5: Solve for x
    x = 1,152,164,295,380,014,208/692,632,174.50
  6. Step 6: Final answer
    x = 1,663,457,658.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.