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Finding the Third Proportional to 6,966,878 and 14,568,992

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Solution

The third proportional to 6,966,878 and 14,568,992 is: 30,466,376.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966,878 : 14,568,992 = 14,568,992 : x
  2. Step 2: Convert to fraction form
    6,966,878/14,568,992 = 14,568,992/x
  3. Step 3: Cross multiply
    6,966,878x = 14,568,992 × 14,568,992
  4. Step 4: Simplify right side
    6,966,878x = 212,255,527,896,064
  5. Step 5: Solve for x
    x = 212,255,527,896,064/6,966,878
  6. Step 6: Final answer
    x = 30,466,376.46

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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.