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Finding the Third Proportional to 3,335,024 and 6,827,296

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Solution

The third proportional to 3,335,024 and 6,827,296 is: 13,976,502.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335,024 : 6,827,296 = 6,827,296 : x
  2. Step 2: Convert to fraction form
    3,335,024/6,827,296 = 6,827,296/x
  3. Step 3: Cross multiply
    3,335,024x = 6,827,296 × 6,827,296
  4. Step 4: Simplify right side
    3,335,024x = 46,611,970,671,616
  5. Step 5: Solve for x
    x = 46,611,970,671,616/3,335,024
  6. Step 6: Final answer
    x = 13,976,502.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.