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Finding the Third Proportional to 126,052,891 and 274,191,566

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Solution

The third proportional to 126,052,891 and 274,191,566 is: 596,424,360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,052,891 : 274,191,566 = 274,191,566 : x
  2. Step 2: Convert to fraction form
    126,052,891/274,191,566 = 274,191,566/x
  3. Step 3: Cross multiply
    126,052,891x = 274,191,566 × 274,191,566
  4. Step 4: Simplify right side
    126,052,891x = 75,181,014,865,532,352
  5. Step 5: Solve for x
    x = 75,181,014,865,532,352/126,052,891
  6. Step 6: Final answer
    x = 596,424,360.20

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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.