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Finding the Third Proportional to 6,238,571,225 and 13,871,997,925

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Solution

The third proportional to 6,238,571,225 and 13,871,997,925 is: 30,845,576,573.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238,571,225 : 13,871,997,925 = 13,871,997,925 : x
  2. Step 2: Convert to fraction form
    6,238,571,225/13,871,997,925 = 13,871,997,925/x
  3. Step 3: Cross multiply
    6,238,571,225x = 13,871,997,925 × 13,871,997,925
  4. Step 4: Simplify right side
    6,238,571,225x = 192,432,326,431,204,311,040
  5. Step 5: Solve for x
    x = 192,432,326,431,204,311,040/6,238,571,225
  6. Step 6: Final answer
    x = 30,845,576,573.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.