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Finding the Third Proportional to 6,493,136 and 10,093,374

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Solution

The third proportional to 6,493,136 and 10,093,374 is: 15,689,829.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493,136 : 10,093,374 = 10,093,374 : x
  2. Step 2: Convert to fraction form
    6,493,136/10,093,374 = 10,093,374/x
  3. Step 3: Cross multiply
    6,493,136x = 10,093,374 × 10,093,374
  4. Step 4: Simplify right side
    6,493,136x = 101,876,198,703,876
  5. Step 5: Solve for x
    x = 101,876,198,703,876/6,493,136
  6. Step 6: Final answer
    x = 15,689,829.80

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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.