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Finding the Third Proportional to 317,379,011 and 490,218,043

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Solution

The third proportional to 317,379,011 and 490,218,043 is: 757,182,174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,379,011 : 490,218,043 = 490,218,043 : x
  2. Step 2: Convert to fraction form
    317,379,011/490,218,043 = 490,218,043/x
  3. Step 3: Cross multiply
    317,379,011x = 490,218,043 × 490,218,043
  4. Step 4: Simplify right side
    317,379,011x = 240,313,729,682,749,856
  5. Step 5: Solve for x
    x = 240,313,729,682,749,856/317,379,011
  6. Step 6: Final answer
    x = 757,182,174.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.