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Finding the Third Proportional to 6,947,910 and 15,309,378

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Solution

The third proportional to 6,947,910 and 15,309,378 is: 33,733,461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947,910 : 15,309,378 = 15,309,378 : x
  2. Step 2: Convert to fraction form
    6,947,910/15,309,378 = 15,309,378/x
  3. Step 3: Cross multiply
    6,947,910x = 15,309,378 × 15,309,378
  4. Step 4: Simplify right side
    6,947,910x = 234,377,054,746,884
  5. Step 5: Solve for x
    x = 234,377,054,746,884/6,947,910
  6. Step 6: Final answer
    x = 33,733,461.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.