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Finding the Third Proportional to 3,177,432 and 6,809,724

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Solution

The third proportional to 3,177,432 and 6,809,724 is: 14,594,282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177,432 : 6,809,724 = 6,809,724 : x
  2. Step 2: Convert to fraction form
    3,177,432/6,809,724 = 6,809,724/x
  3. Step 3: Cross multiply
    3,177,432x = 6,809,724 × 6,809,724
  4. Step 4: Simplify right side
    3,177,432x = 46,372,340,956,176
  5. Step 5: Solve for x
    x = 46,372,340,956,176/3,177,432
  6. Step 6: Final answer
    x = 14,594,282.73

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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.