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Finding the Third Proportional to 2,846,229.50 and 6,146,911

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Solution

The third proportional to 2,846,229.50 and 6,146,911 is: 13,275,287.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846,229.50 : 6,146,911 = 6,146,911 : x
  2. Step 2: Convert to fraction form
    2,846,229.50/6,146,911 = 6,146,911/x
  3. Step 3: Cross multiply
    2,846,229.50x = 6,146,911 × 6,146,911
  4. Step 4: Simplify right side
    2,846,229.50x = 37,784,514,841,921
  5. Step 5: Solve for x
    x = 37,784,514,841,921/2,846,229.50
  6. Step 6: Final answer
    x = 13,275,287.48

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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.