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Finding the Third Proportional to 126,052,869 and 274,191,522

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Solution

The third proportional to 126,052,869 and 274,191,522 is: 596,424,272.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,052,869 : 274,191,522 = 274,191,522 : x
  2. Step 2: Convert to fraction form
    126,052,869/274,191,522 = 274,191,522/x
  3. Step 3: Cross multiply
    126,052,869x = 274,191,522 × 274,191,522
  4. Step 4: Simplify right side
    126,052,869x = 75,180,990,736,676,480
  5. Step 5: Solve for x
    x = 75,180,990,736,676,480/126,052,869
  6. Step 6: Final answer
    x = 596,424,272.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.