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Finding the Third Proportional to 7,511,103 and 16,219,548

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Solution

The third proportional to 7,511,103 and 16,219,548 is: 35,024,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,511,103 : 16,219,548 = 16,219,548 : x
  2. Step 2: Convert to fraction form
    7,511,103/16,219,548 = 16,219,548/x
  3. Step 3: Cross multiply
    7,511,103x = 16,219,548 × 16,219,548
  4. Step 4: Simplify right side
    7,511,103x = 263,073,737,324,304
  5. Step 5: Solve for x
    x = 263,073,737,324,304/7,511,103
  6. Step 6: Final answer
    x = 35,024,647.82

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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.