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Finding the Third Proportional to 2,083,187,811 and 3,173,619,648

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Solution

The third proportional to 2,083,187,811 and 3,173,619,648 is: 4,834,831,318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083,187,811 : 3,173,619,648 = 3,173,619,648 : x
  2. Step 2: Convert to fraction form
    2,083,187,811/3,173,619,648 = 3,173,619,648/x
  3. Step 3: Cross multiply
    2,083,187,811x = 3,173,619,648 × 3,173,619,648
  4. Step 4: Simplify right side
    2,083,187,811x = 10,071,861,670,171,643,904
  5. Step 5: Solve for x
    x = 10,071,861,670,171,643,904/2,083,187,811
  6. Step 6: Final answer
    x = 4,834,831,318.13

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