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Finding the Third Proportional to 3,911,323.50 and 5,749,917.75

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Solution

The third proportional to 3,911,323.50 and 5,749,917.75 is: 8,452,779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911,323.50 : 5,749,917.75 = 5,749,917.75 : x
  2. Step 2: Convert to fraction form
    3,911,323.50/5,749,917.75 = 5,749,917.75/x
  3. Step 3: Cross multiply
    3,911,323.50x = 5,749,917.75 × 5,749,917.75
  4. Step 4: Simplify right side
    3,911,323.50x = 33,061,554,131,765.06
  5. Step 5: Solve for x
    x = 33,061,554,131,765.06/3,911,323.50
  6. Step 6: Final answer
    x = 8,452,779.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.