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Finding the Third Proportional to 6,463,197 and 9,829,093

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Solution

The third proportional to 6,463,197 and 9,829,093 is: 14,947,876.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463,197 : 9,829,093 = 9,829,093 : x
  2. Step 2: Convert to fraction form
    6,463,197/9,829,093 = 9,829,093/x
  3. Step 3: Cross multiply
    6,463,197x = 9,829,093 × 9,829,093
  4. Step 4: Simplify right side
    6,463,197x = 96,611,069,202,649
  5. Step 5: Solve for x
    x = 96,611,069,202,649/6,463,197
  6. Step 6: Final answer
    x = 14,947,876.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.