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Finding the Third Proportional to 11,577,204 and 17,018,964

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Solution

The third proportional to 11,577,204 and 17,018,964 is: 25,018,574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577,204 : 17,018,964 = 17,018,964 : x
  2. Step 2: Convert to fraction form
    11,577,204/17,018,964 = 17,018,964/x
  3. Step 3: Cross multiply
    11,577,204x = 17,018,964 × 17,018,964
  4. Step 4: Simplify right side
    11,577,204x = 289,645,135,633,296
  5. Step 5: Solve for x
    x = 289,645,135,633,296/11,577,204
  6. Step 6: Final answer
    x = 25,018,574.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.