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Finding the Third Proportional to 22,512,134.25 and 45,819,184.50

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Solution

The third proportional to 22,512,134.25 and 45,819,184.50 is: 93,256,269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,512,134.25 : 45,819,184.50 = 45,819,184.50 : x
  2. Step 2: Convert to fraction form
    22,512,134.25/45,819,184.50 = 45,819,184.50/x
  3. Step 3: Cross multiply
    22,512,134.25x = 45,819,184.50 × 45,819,184.50
  4. Step 4: Simplify right side
    22,512,134.25x = 2,099,397,668,245,040.25
  5. Step 5: Solve for x
    x = 2,099,397,668,245,040.25/22,512,134.25
  6. Step 6: Final answer
    x = 93,256,269.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.