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Finding the Third Proportional to 7,630,760 and 16,367,048

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Solution

The third proportional to 7,630,760 and 16,367,048 is: 35,105,318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630,760 : 16,367,048 = 16,367,048 : x
  2. Step 2: Convert to fraction form
    7,630,760/16,367,048 = 16,367,048/x
  3. Step 3: Cross multiply
    7,630,760x = 16,367,048 × 16,367,048
  4. Step 4: Simplify right side
    7,630,760x = 267,880,260,234,304
  5. Step 5: Solve for x
    x = 267,880,260,234,304/7,630,760
  6. Step 6: Final answer
    x = 35,105,318.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.