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Finding the Third Proportional to 6,966,873 and 14,568,984

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Solution

The third proportional to 6,966,873 and 14,568,984 is: 30,466,364.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966,873 : 14,568,984 = 14,568,984 : x
  2. Step 2: Convert to fraction form
    6,966,873/14,568,984 = 14,568,984/x
  3. Step 3: Cross multiply
    6,966,873x = 14,568,984 × 14,568,984
  4. Step 4: Simplify right side
    6,966,873x = 212,255,294,792,256
  5. Step 5: Solve for x
    x = 212,255,294,792,256/6,966,873
  6. Step 6: Final answer
    x = 30,466,364.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.