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Finding the Third Proportional to 2,871,798,097.50 and 6,147,015,571.50

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Solution

The third proportional to 2,871,798,097.50 and 6,147,015,571.50 is: 13,157,540,730.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871,798,097.50 : 6,147,015,571.50 = 6,147,015,571.50 : x
  2. Step 2: Convert to fraction form
    2,871,798,097.50/6,147,015,571.50 = 6,147,015,571.50/x
  3. Step 3: Cross multiply
    2,871,798,097.50x = 6,147,015,571.50 × 6,147,015,571.50
  4. Step 4: Simplify right side
    2,871,798,097.50x = 37,785,800,436,263,469,056
  5. Step 5: Solve for x
    x = 37,785,800,436,263,469,056/2,871,798,097.50
  6. Step 6: Final answer
    x = 13,157,540,730.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.