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Finding the Third Proportional to 3,699,413.02 and 5,811,371.58

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Solution

The third proportional to 3,699,413.02 and 5,811,371.58 is: 9,129,026.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699,413.02 : 5,811,371.58 = 5,811,371.58 : x
  2. Step 2: Convert to fraction form
    3,699,413.02/5,811,371.58 = 5,811,371.58/x
  3. Step 3: Cross multiply
    3,699,413.02x = 5,811,371.58 × 5,811,371.58
  4. Step 4: Simplify right side
    3,699,413.02x = 33,772,039,619,039.05
  5. Step 5: Solve for x
    x = 33,772,039,619,039.05/3,699,413.02
  6. Step 6: Final answer
    x = 9,129,026.54

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.