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Finding the Third Proportional to 8,027,714 and 11,443,648

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Solution

The third proportional to 8,027,714 and 11,443,648 is: 16,313,122.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027,714 : 11,443,648 = 11,443,648 : x
  2. Step 2: Convert to fraction form
    8,027,714/11,443,648 = 11,443,648/x
  3. Step 3: Cross multiply
    8,027,714x = 11,443,648 × 11,443,648
  4. Step 4: Simplify right side
    8,027,714x = 130,957,079,547,904
  5. Step 5: Solve for x
    x = 130,957,079,547,904/8,027,714
  6. Step 6: Final answer
    x = 16,313,122.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.