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Finding the Third Proportional to 5,483,409.75 and 7,665,750

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Solution

The third proportional to 5,483,409.75 and 7,665,750 is: 10,716,639.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,483,409.75 : 7,665,750 = 7,665,750 : x
  2. Step 2: Convert to fraction form
    5,483,409.75/7,665,750 = 7,665,750/x
  3. Step 3: Cross multiply
    5,483,409.75x = 7,665,750 × 7,665,750
  4. Step 4: Simplify right side
    5,483,409.75x = 58,763,723,062,500
  5. Step 5: Solve for x
    x = 58,763,723,062,500/5,483,409.75
  6. Step 6: Final answer
    x = 10,716,639.05

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.