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Finding the Third Proportional to 7,836,580 and 12,104,238

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Solution

The third proportional to 7,836,580 and 12,104,238 is: 18,695,984.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836,580 : 12,104,238 = 12,104,238 : x
  2. Step 2: Convert to fraction form
    7,836,580/12,104,238 = 12,104,238/x
  3. Step 3: Cross multiply
    7,836,580x = 12,104,238 × 12,104,238
  4. Step 4: Simplify right side
    7,836,580x = 146,512,577,560,644
  5. Step 5: Solve for x
    x = 146,512,577,560,644/7,836,580
  6. Step 6: Final answer
    x = 18,695,984.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.