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Finding the Third Proportional to 13,538,728 and 28,197,200

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Solution

The third proportional to 13,538,728 and 28,197,200 is: 58,726,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538,728 : 28,197,200 = 28,197,200 : x
  2. Step 2: Convert to fraction form
    13,538,728/28,197,200 = 28,197,200/x
  3. Step 3: Cross multiply
    13,538,728x = 28,197,200 × 28,197,200
  4. Step 4: Simplify right side
    13,538,728x = 795,082,087,840,000
  5. Step 5: Solve for x
    x = 795,082,087,840,000/13,538,728
  6. Step 6: Final answer
    x = 58,726,498.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.