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Finding the Third Proportional to 8,281,775 and 16,965,148

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Solution

The third proportional to 8,281,775 and 16,965,148 is: 34,752,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281,775 : 16,965,148 = 16,965,148 : x
  2. Step 2: Convert to fraction form
    8,281,775/16,965,148 = 16,965,148/x
  3. Step 3: Cross multiply
    8,281,775x = 16,965,148 × 16,965,148
  4. Step 4: Simplify right side
    8,281,775x = 287,816,246,661,904
  5. Step 5: Solve for x
    x = 287,816,246,661,904/8,281,775
  6. Step 6: Final answer
    x = 34,752,966.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.