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Finding the Third Proportional to 25,109,839.50 and 35,540,205

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Solution

The third proportional to 25,109,839.50 and 35,540,205 is: 50,303,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,109,839.50 : 35,540,205 = 35,540,205 : x
  2. Step 2: Convert to fraction form
    25,109,839.50/35,540,205 = 35,540,205/x
  3. Step 3: Cross multiply
    25,109,839.50x = 35,540,205 × 35,540,205
  4. Step 4: Simplify right side
    25,109,839.50x = 1,263,106,171,442,025
  5. Step 5: Solve for x
    x = 1,263,106,171,442,025/25,109,839.50
  6. Step 6: Final answer
    x = 50,303,235.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.