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Finding the Third Proportional to 9,031,189.50 and 12,874,122

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Solution

The third proportional to 9,031,189.50 and 12,874,122 is: 18,352,290.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031,189.50 : 12,874,122 = 12,874,122 : x
  2. Step 2: Convert to fraction form
    9,031,189.50/12,874,122 = 12,874,122/x
  3. Step 3: Cross multiply
    9,031,189.50x = 12,874,122 × 12,874,122
  4. Step 4: Simplify right side
    9,031,189.50x = 165,743,017,270,884
  5. Step 5: Solve for x
    x = 165,743,017,270,884/9,031,189.50
  6. Step 6: Final answer
    x = 18,352,290.94

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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.