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Finding the Third Proportional to 7,630,893 and 16,171,578

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Solution

The third proportional to 7,630,893 and 16,171,578 is: 34,271,209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630,893 : 16,171,578 = 16,171,578 : x
  2. Step 2: Convert to fraction form
    7,630,893/16,171,578 = 16,171,578/x
  3. Step 3: Cross multiply
    7,630,893x = 16,171,578 × 16,171,578
  4. Step 4: Simplify right side
    7,630,893x = 261,519,935,010,084
  5. Step 5: Solve for x
    x = 261,519,935,010,084/7,630,893
  6. Step 6: Final answer
    x = 34,271,209.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.