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Finding the Third Proportional to 3,177,584 and 6,810,016

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Solution

The third proportional to 3,177,584 and 6,810,016 is: 14,594,836.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177,584 : 6,810,016 = 6,810,016 : x
  2. Step 2: Convert to fraction form
    3,177,584/6,810,016 = 6,810,016/x
  3. Step 3: Cross multiply
    3,177,584x = 6,810,016 × 6,810,016
  4. Step 4: Simplify right side
    3,177,584x = 46,376,317,920,256
  5. Step 5: Solve for x
    x = 46,376,317,920,256/3,177,584
  6. Step 6: Final answer
    x = 14,594,836.18

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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.