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Finding the Third Proportional to 11,251,309 and 16,802,848

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Solution

The third proportional to 11,251,309 and 16,802,848 is: 25,093,586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,251,309 : 16,802,848 = 16,802,848 : x
  2. Step 2: Convert to fraction form
    11,251,309/16,802,848 = 16,802,848/x
  3. Step 3: Cross multiply
    11,251,309x = 16,802,848 × 16,802,848
  4. Step 4: Simplify right side
    11,251,309x = 282,335,700,911,104
  5. Step 5: Solve for x
    x = 282,335,700,911,104/11,251,309
  6. Step 6: Final answer
    x = 25,093,586.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.