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Finding the Third Proportional to 11,127,828 and 23,451,213

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Solution

The third proportional to 11,127,828 and 23,451,213 is: 49,421,988.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,127,828 : 23,451,213 = 23,451,213 : x
  2. Step 2: Convert to fraction form
    11,127,828/23,451,213 = 23,451,213/x
  3. Step 3: Cross multiply
    11,127,828x = 23,451,213 × 23,451,213
  4. Step 4: Simplify right side
    11,127,828x = 549,959,391,171,369
  5. Step 5: Solve for x
    x = 549,959,391,171,369/11,127,828
  6. Step 6: Final answer
    x = 49,421,988.83

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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.