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Finding the Third Proportional to 10,714,295 and 16,168,049

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Solution

The third proportional to 10,714,295 and 16,168,049 is: 24,397,854.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714,295 : 16,168,049 = 16,168,049 : x
  2. Step 2: Convert to fraction form
    10,714,295/16,168,049 = 16,168,049/x
  3. Step 3: Cross multiply
    10,714,295x = 16,168,049 × 16,168,049
  4. Step 4: Simplify right side
    10,714,295x = 261,405,808,466,401
  5. Step 5: Solve for x
    x = 261,405,808,466,401/10,714,295
  6. Step 6: Final answer
    x = 24,397,854.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.