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Finding the Third Proportional to 6,238,571,193.75 and 13,871,997,870

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Solution

The third proportional to 6,238,571,193.75 and 13,871,997,870 is: 30,845,576,483.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238,571,193.75 : 13,871,997,870 = 13,871,997,870 : x
  2. Step 2: Convert to fraction form
    6,238,571,193.75/13,871,997,870 = 13,871,997,870/x
  3. Step 3: Cross multiply
    6,238,571,193.75x = 13,871,997,870 × 13,871,997,870
  4. Step 4: Simplify right side
    6,238,571,193.75x = 192,432,324,905,284,534,272
  5. Step 5: Solve for x
    x = 192,432,324,905,284,534,272/6,238,571,193.75
  6. Step 6: Final answer
    x = 30,845,576,483.61

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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.