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Finding the Third Proportional to 5,347,271 and 11,546,797

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Solution

The third proportional to 5,347,271 and 11,546,797 is: 24,933,937.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347,271 : 11,546,797 = 11,546,797 : x
  2. Step 2: Convert to fraction form
    5,347,271/11,546,797 = 11,546,797/x
  3. Step 3: Cross multiply
    5,347,271x = 11,546,797 × 11,546,797
  4. Step 4: Simplify right side
    5,347,271x = 133,328,520,959,209
  5. Step 5: Solve for x
    x = 133,328,520,959,209/5,347,271
  6. Step 6: Final answer
    x = 24,933,937.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.