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Finding the Third Proportional to 9,635,184 and 14,186,601

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Solution

The third proportional to 9,635,184 and 14,186,601 is: 20,887,992.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635,184 : 14,186,601 = 14,186,601 : x
  2. Step 2: Convert to fraction form
    9,635,184/14,186,601 = 14,186,601/x
  3. Step 3: Cross multiply
    9,635,184x = 14,186,601 × 14,186,601
  4. Step 4: Simplify right side
    9,635,184x = 201,259,647,933,201
  5. Step 5: Solve for x
    x = 201,259,647,933,201/9,635,184
  6. Step 6: Final answer
    x = 20,887,992.17

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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.