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Finding the Third Proportional to 3,097,514 and 6,643,420

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Solution

The third proportional to 3,097,514 and 6,643,420 is: 14,248,532.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,514 : 6,643,420 = 6,643,420 : x
  2. Step 2: Convert to fraction form
    3,097,514/6,643,420 = 6,643,420/x
  3. Step 3: Cross multiply
    3,097,514x = 6,643,420 × 6,643,420
  4. Step 4: Simplify right side
    3,097,514x = 44,135,029,296,400
  5. Step 5: Solve for x
    x = 44,135,029,296,400/3,097,514
  6. Step 6: Final answer
    x = 14,248,532.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.