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Finding the Third Proportional to 6,238,571,196 and 13,871,997,874

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Solution

The third proportional to 6,238,571,196 and 13,871,997,874 is: 30,845,576,490.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238,571,196 : 13,871,997,874 = 13,871,997,874 : x
  2. Step 2: Convert to fraction form
    6,238,571,196/13,871,997,874 = 13,871,997,874/x
  3. Step 3: Cross multiply
    6,238,571,196x = 13,871,997,874 × 13,871,997,874
  4. Step 4: Simplify right side
    6,238,571,196x = 192,432,325,016,260,509,696
  5. Step 5: Solve for x
    x = 192,432,325,016,260,509,696/6,238,571,196
  6. Step 6: Final answer
    x = 30,845,576,490.28

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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.