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Finding the Third Proportional to 10,106,625 and 15,550,293

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Solution

The third proportional to 10,106,625 and 15,550,293 is: 23,926,049.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106,625 : 15,550,293 = 15,550,293 : x
  2. Step 2: Convert to fraction form
    10,106,625/15,550,293 = 15,550,293/x
  3. Step 3: Cross multiply
    10,106,625x = 15,550,293 × 15,550,293
  4. Step 4: Simplify right side
    10,106,625x = 241,811,612,385,849
  5. Step 5: Solve for x
    x = 241,811,612,385,849/10,106,625
  6. Step 6: Final answer
    x = 23,926,049.73

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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.