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Finding the Third Proportional to 11,808,918,869 and 26,024,871,558

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Solution

The third proportional to 11,808,918,869 and 26,024,871,558 is: 57,354,440,920.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808,918,869 : 26,024,871,558 = 26,024,871,558 : x
  2. Step 2: Convert to fraction form
    11,808,918,869/26,024,871,558 = 26,024,871,558/x
  3. Step 3: Cross multiply
    11,808,918,869x = 26,024,871,558 × 26,024,871,558
  4. Step 4: Simplify right side
    11,808,918,869x = 677,293,939,610,397,310,976
  5. Step 5: Solve for x
    x = 677,293,939,610,397,310,976/11,808,918,869
  6. Step 6: Final answer
    x = 57,354,440,920.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.