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Finding the Third Proportional to 2,768,257 and 6,006,530

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Solution

The third proportional to 2,768,257 and 6,006,530 is: 13,032,894.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768,257 : 6,006,530 = 6,006,530 : x
  2. Step 2: Convert to fraction form
    2,768,257/6,006,530 = 6,006,530/x
  3. Step 3: Cross multiply
    2,768,257x = 6,006,530 × 6,006,530
  4. Step 4: Simplify right side
    2,768,257x = 36,078,402,640,900
  5. Step 5: Solve for x
    x = 36,078,402,640,900/2,768,257
  6. Step 6: Final answer
    x = 13,032,894.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.