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Finding the Third Proportional to 11,382,547 and 16,647,917

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Solution

The third proportional to 11,382,547 and 16,647,917 is: 24,348,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382,547 : 16,647,917 = 16,647,917 : x
  2. Step 2: Convert to fraction form
    11,382,547/16,647,917 = 16,647,917/x
  3. Step 3: Cross multiply
    11,382,547x = 16,647,917 × 16,647,917
  4. Step 4: Simplify right side
    11,382,547x = 277,153,140,438,889
  5. Step 5: Solve for x
    x = 277,153,140,438,889/11,382,547
  6. Step 6: Final answer
    x = 24,348,956.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.