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Finding the Third Proportional to 3,626,762.25 and 5,486,788.50

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Solution

The third proportional to 3,626,762.25 and 5,486,788.50 is: 8,300,750.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626,762.25 : 5,486,788.50 = 5,486,788.50 : x
  2. Step 2: Convert to fraction form
    3,626,762.25/5,486,788.50 = 5,486,788.50/x
  3. Step 3: Cross multiply
    3,626,762.25x = 5,486,788.50 × 5,486,788.50
  4. Step 4: Simplify right side
    3,626,762.25x = 30,104,848,043,732.25
  5. Step 5: Solve for x
    x = 30,104,848,043,732.25/3,626,762.25
  6. Step 6: Final answer
    x = 8,300,750.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.