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Finding the Third Proportional to 5,186,646 and 7,851,573

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Solution

The third proportional to 5,186,646 and 7,851,573 is: 11,885,754.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186,646 : 7,851,573 = 7,851,573 : x
  2. Step 2: Convert to fraction form
    5,186,646/7,851,573 = 7,851,573/x
  3. Step 3: Cross multiply
    5,186,646x = 7,851,573 × 7,851,573
  4. Step 4: Simplify right side
    5,186,646x = 61,647,198,574,329
  5. Step 5: Solve for x
    x = 61,647,198,574,329/5,186,646
  6. Step 6: Final answer
    x = 11,885,754.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.