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Finding the Third Proportional to 3,175,715 and 6,876,310

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Solution

The third proportional to 3,175,715 and 6,876,310 is: 14,889,131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175,715 : 6,876,310 = 6,876,310 : x
  2. Step 2: Convert to fraction form
    3,175,715/6,876,310 = 6,876,310/x
  3. Step 3: Cross multiply
    3,175,715x = 6,876,310 × 6,876,310
  4. Step 4: Simplify right side
    3,175,715x = 47,283,639,216,100
  5. Step 5: Solve for x
    x = 47,283,639,216,100/3,175,715
  6. Step 6: Final answer
    x = 14,889,131.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.