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Finding the Third Proportional to 6,943,934 and 10,315,378

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Solution

The third proportional to 6,943,934 and 10,315,378 is: 15,323,737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943,934 : 10,315,378 = 10,315,378 : x
  2. Step 2: Convert to fraction form
    6,943,934/10,315,378 = 10,315,378/x
  3. Step 3: Cross multiply
    6,943,934x = 10,315,378 × 10,315,378
  4. Step 4: Simplify right side
    6,943,934x = 106,407,023,282,884
  5. Step 5: Solve for x
    x = 106,407,023,282,884/6,943,934
  6. Step 6: Final answer
    x = 15,323,737.71

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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.