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Finding the Third Proportional to 11,128,025 and 23,451,634

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Solution

The third proportional to 11,128,025 and 23,451,634 is: 49,422,888.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,128,025 : 23,451,634 = 23,451,634 : x
  2. Step 2: Convert to fraction form
    11,128,025/23,451,634 = 23,451,634/x
  3. Step 3: Cross multiply
    11,128,025x = 23,451,634 × 23,451,634
  4. Step 4: Simplify right side
    11,128,025x = 549,979,137,269,956
  5. Step 5: Solve for x
    x = 549,979,137,269,956/11,128,025
  6. Step 6: Final answer
    x = 49,422,888.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.