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Finding the Third Proportional to 126,052,889 and 274,191,562

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Solution

The third proportional to 126,052,889 and 274,191,562 is: 596,424,352.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,052,889 : 274,191,562 = 274,191,562 : x
  2. Step 2: Convert to fraction form
    126,052,889/274,191,562 = 274,191,562/x
  3. Step 3: Cross multiply
    126,052,889x = 274,191,562 × 274,191,562
  4. Step 4: Simplify right side
    126,052,889x = 75,181,012,671,999,840
  5. Step 5: Solve for x
    x = 75,181,012,671,999,840/126,052,889
  6. Step 6: Final answer
    x = 596,424,352.26

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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.