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Finding the Third Proportional to 6,436,686 and 13,641,012

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Solution

The third proportional to 6,436,686 and 13,641,012 is: 28,908,852.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436,686 : 13,641,012 = 13,641,012 : x
  2. Step 2: Convert to fraction form
    6,436,686/13,641,012 = 13,641,012/x
  3. Step 3: Cross multiply
    6,436,686x = 13,641,012 × 13,641,012
  4. Step 4: Simplify right side
    6,436,686x = 186,077,208,384,144
  5. Step 5: Solve for x
    x = 186,077,208,384,144/6,436,686
  6. Step 6: Final answer
    x = 28,908,852.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.