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Finding the Third Proportional to 12,346,434 and 27,083,340

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Solution

The third proportional to 12,346,434 and 27,083,340 is: 59,410,458.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346,434 : 27,083,340 = 27,083,340 : x
  2. Step 2: Convert to fraction form
    12,346,434/27,083,340 = 27,083,340/x
  3. Step 3: Cross multiply
    12,346,434x = 27,083,340 × 27,083,340
  4. Step 4: Simplify right side
    12,346,434x = 733,507,305,555,600
  5. Step 5: Solve for x
    x = 733,507,305,555,600/12,346,434
  6. Step 6: Final answer
    x = 59,410,458.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.