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Finding the Third Proportional to 13,882,198.50 and 30,011,661

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Solution

The third proportional to 13,882,198.50 and 30,011,661 is: 64,881,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882,198.50 : 30,011,661 = 30,011,661 : x
  2. Step 2: Convert to fraction form
    13,882,198.50/30,011,661 = 30,011,661/x
  3. Step 3: Cross multiply
    13,882,198.50x = 30,011,661 × 30,011,661
  4. Step 4: Simplify right side
    13,882,198.50x = 900,699,795,978,921
  5. Step 5: Solve for x
    x = 900,699,795,978,921/13,882,198.50
  6. Step 6: Final answer
    x = 64,881,639.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.