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Finding the Third Proportional to 7,162,566 and 11,106,945

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Solution

The third proportional to 7,162,566 and 11,106,945 is: 17,223,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162,566 : 11,106,945 = 11,106,945 : x
  2. Step 2: Convert to fraction form
    7,162,566/11,106,945 = 11,106,945/x
  3. Step 3: Cross multiply
    7,162,566x = 11,106,945 × 11,106,945
  4. Step 4: Simplify right side
    7,162,566x = 123,364,227,233,025
  5. Step 5: Solve for x
    x = 123,364,227,233,025/7,162,566
  6. Step 6: Final answer
    x = 17,223,468.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.