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Finding the Third Proportional to 9,540,846 and 15,196,356

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Solution

The third proportional to 9,540,846 and 15,196,356 is: 24,204,272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540,846 : 15,196,356 = 15,196,356 : x
  2. Step 2: Convert to fraction form
    9,540,846/15,196,356 = 15,196,356/x
  3. Step 3: Cross multiply
    9,540,846x = 15,196,356 × 15,196,356
  4. Step 4: Simplify right side
    9,540,846x = 230,929,235,678,736
  5. Step 5: Solve for x
    x = 230,929,235,678,736/9,540,846
  6. Step 6: Final answer
    x = 24,204,272.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.