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Finding the Third Proportional to 2,534,229 and 5,514,597

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Solution

The third proportional to 2,534,229 and 5,514,597 is: 12,000,012.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534,229 : 5,514,597 = 5,514,597 : x
  2. Step 2: Convert to fraction form
    2,534,229/5,514,597 = 5,514,597/x
  3. Step 3: Cross multiply
    2,534,229x = 5,514,597 × 5,514,597
  4. Step 4: Simplify right side
    2,534,229x = 30,410,780,072,409
  5. Step 5: Solve for x
    x = 30,410,780,072,409/2,534,229
  6. Step 6: Final answer
    x = 12,000,012.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.