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Finding the Third Proportional to 9,031,081 and 12,874,000

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Solution

The third proportional to 9,031,081 and 12,874,000 is: 18,352,163.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031,081 : 12,874,000 = 12,874,000 : x
  2. Step 2: Convert to fraction form
    9,031,081/12,874,000 = 12,874,000/x
  3. Step 3: Cross multiply
    9,031,081x = 12,874,000 × 12,874,000
  4. Step 4: Simplify right side
    9,031,081x = 165,739,876,000,000
  5. Step 5: Solve for x
    x = 165,739,876,000,000/9,031,081
  6. Step 6: Final answer
    x = 18,352,163.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.