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Finding the Third Proportional to 13,940,022.50 and 30,196,830

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Solution

The third proportional to 13,940,022.50 and 30,196,830 is: 65,412,271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940,022.50 : 30,196,830 = 30,196,830 : x
  2. Step 2: Convert to fraction form
    13,940,022.50/30,196,830 = 30,196,830/x
  3. Step 3: Cross multiply
    13,940,022.50x = 30,196,830 × 30,196,830
  4. Step 4: Simplify right side
    13,940,022.50x = 911,848,542,048,900
  5. Step 5: Solve for x
    x = 911,848,542,048,900/13,940,022.50
  6. Step 6: Final answer
    x = 65,412,271.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.