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Finding the Third Proportional to 3,177,460 and 6,809,780

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Solution

The third proportional to 3,177,460 and 6,809,780 is: 14,594,394.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177,460 : 6,809,780 = 6,809,780 : x
  2. Step 2: Convert to fraction form
    3,177,460/6,809,780 = 6,809,780/x
  3. Step 3: Cross multiply
    3,177,460x = 6,809,780 × 6,809,780
  4. Step 4: Simplify right side
    3,177,460x = 46,373,103,648,400
  5. Step 5: Solve for x
    x = 46,373,103,648,400/3,177,460
  6. Step 6: Final answer
    x = 14,594,394.15

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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.