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Finding the Third Proportional to 3,177,436 and 6,809,732

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Solution

The third proportional to 3,177,436 and 6,809,732 is: 14,594,298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177,436 : 6,809,732 = 6,809,732 : x
  2. Step 2: Convert to fraction form
    3,177,436/6,809,732 = 6,809,732/x
  3. Step 3: Cross multiply
    3,177,436x = 6,809,732 × 6,809,732
  4. Step 4: Simplify right side
    3,177,436x = 46,372,449,911,824
  5. Step 5: Solve for x
    x = 46,372,449,911,824/3,177,436
  6. Step 6: Final answer
    x = 14,594,298.65

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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.