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Finding the Third Proportional to 3,436,424.13 and 5,095,198.49

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Solution

The third proportional to 3,436,424.13 and 5,095,198.49 is: 7,554,669.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436,424.13 : 5,095,198.49 = 5,095,198.49 : x
  2. Step 2: Convert to fraction form
    3,436,424.13/5,095,198.49 = 5,095,198.49/x
  3. Step 3: Cross multiply
    3,436,424.13x = 5,095,198.49 × 5,095,198.49
  4. Step 4: Simplify right side
    3,436,424.13x = 25,961,047,649,909.92
  5. Step 5: Solve for x
    x = 25,961,047,649,909.92/3,436,424.13
  6. Step 6: Final answer
    x = 7,554,669.23

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.