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Finding the Third Proportional to 57,464,559 and 126,104,769

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Solution

The third proportional to 57,464,559 and 126,104,769 is: 276,734,269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,464,559 : 126,104,769 = 126,104,769 : x
  2. Step 2: Convert to fraction form
    57,464,559/126,104,769 = 126,104,769/x
  3. Step 3: Cross multiply
    57,464,559x = 126,104,769 × 126,104,769
  4. Step 4: Simplify right side
    57,464,559x = 15,902,412,764,543,360
  5. Step 5: Solve for x
    x = 15,902,412,764,543,360/57,464,559
  6. Step 6: Final answer
    x = 276,734,269.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.