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Finding the Third Proportional to 3,296,398 and 6,845,436

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Solution

The third proportional to 3,296,398 and 6,845,436 is: 14,215,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296,398 : 6,845,436 = 6,845,436 : x
  2. Step 2: Convert to fraction form
    3,296,398/6,845,436 = 6,845,436/x
  3. Step 3: Cross multiply
    3,296,398x = 6,845,436 × 6,845,436
  4. Step 4: Simplify right side
    3,296,398x = 46,859,994,030,096
  5. Step 5: Solve for x
    x = 46,859,994,030,096/3,296,398
  6. Step 6: Final answer
    x = 14,215,514.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.