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Finding the Third Proportional to 11,066,103 and 22,678,416

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Solution

The third proportional to 11,066,103 and 22,678,416 is: 46,476,212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,066,103 : 22,678,416 = 22,678,416 : x
  2. Step 2: Convert to fraction form
    11,066,103/22,678,416 = 22,678,416/x
  3. Step 3: Cross multiply
    11,066,103x = 22,678,416 × 22,678,416
  4. Step 4: Simplify right side
    11,066,103x = 514,310,552,269,056
  5. Step 5: Solve for x
    x = 514,310,552,269,056/11,066,103
  6. Step 6: Final answer
    x = 46,476,212.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.