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Finding the Third Proportional to 10,455,183 and 22,156,443

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Solution

The third proportional to 10,455,183 and 22,156,443 is: 46,953,550.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455,183 : 22,156,443 = 22,156,443 : x
  2. Step 2: Convert to fraction form
    10,455,183/22,156,443 = 22,156,443/x
  3. Step 3: Cross multiply
    10,455,183x = 22,156,443 × 22,156,443
  4. Step 4: Simplify right side
    10,455,183x = 490,907,966,412,249
  5. Step 5: Solve for x
    x = 490,907,966,412,249/10,455,183
  6. Step 6: Final answer
    x = 46,953,550.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.