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Finding the Third Proportional to 2,863,668 and 6,175,641

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Solution

The third proportional to 2,863,668 and 6,175,641 is: 13,318,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863,668 : 6,175,641 = 6,175,641 : x
  2. Step 2: Convert to fraction form
    2,863,668/6,175,641 = 6,175,641/x
  3. Step 3: Cross multiply
    2,863,668x = 6,175,641 × 6,175,641
  4. Step 4: Simplify right side
    2,863,668x = 38,138,541,760,881
  5. Step 5: Solve for x
    x = 38,138,541,760,881/2,863,668
  6. Step 6: Final answer
    x = 13,318,073.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.