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Finding the Third Proportional to 7,714,734 and 16,492,344

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Solution

The third proportional to 7,714,734 and 16,492,344 is: 35,256,874.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714,734 : 16,492,344 = 16,492,344 : x
  2. Step 2: Convert to fraction form
    7,714,734/16,492,344 = 16,492,344/x
  3. Step 3: Cross multiply
    7,714,734x = 16,492,344 × 16,492,344
  4. Step 4: Simplify right side
    7,714,734x = 271,997,410,614,336
  5. Step 5: Solve for x
    x = 271,997,410,614,336/7,714,734
  6. Step 6: Final answer
    x = 35,256,874.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.