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Finding the Third Proportional to 5,628,538.88 and 13,273,658.44

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Solution

The third proportional to 5,628,538.88 and 13,273,658.44 is: 31,302,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628,538.88 : 13,273,658.44 = 13,273,658.44 : x
  2. Step 2: Convert to fraction form
    5,628,538.88/13,273,658.44 = 13,273,658.44/x
  3. Step 3: Cross multiply
    5,628,538.88x = 13,273,658.44 × 13,273,658.44
  4. Step 4: Simplify right side
    5,628,538.88x = 176,190,008,315,414.94
  5. Step 5: Solve for x
    x = 176,190,008,315,414.94/5,628,538.88
  6. Step 6: Final answer
    x = 31,302,974.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.