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Finding the Third Proportional to 6,943,932 and 10,315,375

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Solution

The third proportional to 6,943,932 and 10,315,375 is: 15,323,733.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943,932 : 10,315,375 = 10,315,375 : x
  2. Step 2: Convert to fraction form
    6,943,932/10,315,375 = 10,315,375/x
  3. Step 3: Cross multiply
    6,943,932x = 10,315,375 × 10,315,375
  4. Step 4: Simplify right side
    6,943,932x = 106,406,961,390,625
  5. Step 5: Solve for x
    x = 106,406,961,390,625/6,943,932
  6. Step 6: Final answer
    x = 15,323,733.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.