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Finding the Third Proportional to 5,794,200 and 12,471,984

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Solution

The third proportional to 5,794,200 and 12,471,984 is: 26,845,877.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794,200 : 12,471,984 = 12,471,984 : x
  2. Step 2: Convert to fraction form
    5,794,200/12,471,984 = 12,471,984/x
  3. Step 3: Cross multiply
    5,794,200x = 12,471,984 × 12,471,984
  4. Step 4: Simplify right side
    5,794,200x = 155,550,384,896,256
  5. Step 5: Solve for x
    x = 155,550,384,896,256/5,794,200
  6. Step 6: Final answer
    x = 26,845,877.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.