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Finding the Third Proportional to 11,193,309 and 23,731,767

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Solution

The third proportional to 11,193,309 and 23,731,767 is: 50,315,484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,193,309 : 23,731,767 = 23,731,767 : x
  2. Step 2: Convert to fraction form
    11,193,309/23,731,767 = 23,731,767/x
  3. Step 3: Cross multiply
    11,193,309x = 23,731,767 × 23,731,767
  4. Step 4: Simplify right side
    11,193,309x = 563,196,764,942,289
  5. Step 5: Solve for x
    x = 563,196,764,942,289/11,193,309
  6. Step 6: Final answer
    x = 50,315,484.45

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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.