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Finding the Third Proportional to 6,770,460.94 and 13,201,825.50

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Solution

The third proportional to 6,770,460.94 and 13,201,825.50 is: 25,742,441.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770,460.94 : 13,201,825.50 = 13,201,825.50 : x
  2. Step 2: Convert to fraction form
    6,770,460.94/13,201,825.50 = 13,201,825.50/x
  3. Step 3: Cross multiply
    6,770,460.94x = 13,201,825.50 × 13,201,825.50
  4. Step 4: Simplify right side
    6,770,460.94x = 174,288,196,532,450.25
  5. Step 5: Solve for x
    x = 174,288,196,532,450.25/6,770,460.94
  6. Step 6: Final answer
    x = 25,742,441.78

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.