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Finding the Third Proportional to 3,483,291.09 and 5,380,247.81

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Solution

The third proportional to 3,483,291.09 and 5,380,247.81 is: 8,310,263.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483,291.09 : 5,380,247.81 = 5,380,247.81 : x
  2. Step 2: Convert to fraction form
    3,483,291.09/5,380,247.81 = 5,380,247.81/x
  3. Step 3: Cross multiply
    3,483,291.09x = 5,380,247.81 × 5,380,247.81
  4. Step 4: Simplify right side
    3,483,291.09x = 28,947,066,523,911.04
  5. Step 5: Solve for x
    x = 28,947,066,523,911.04/3,483,291.09
  6. Step 6: Final answer
    x = 8,310,263.41

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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.