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Finding the Third Proportional to 13,996,198.13 and 30,682,814.63

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Solution

The third proportional to 13,996,198.13 and 30,682,814.63 is: 67,263,631.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,996,198.13 : 30,682,814.63 = 30,682,814.63 : x
  2. Step 2: Convert to fraction form
    13,996,198.13/30,682,814.63 = 30,682,814.63/x
  3. Step 3: Cross multiply
    13,996,198.13x = 30,682,814.63 × 30,682,814.63
  4. Step 4: Simplify right side
    13,996,198.13x = 941,435,113,312,113.88
  5. Step 5: Solve for x
    x = 941,435,113,312,113.88/13,996,198.13
  6. Step 6: Final answer
    x = 67,263,631.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.