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Finding the Third Proportional to 11,385,819 and 24,793,251

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Solution

The third proportional to 11,385,819 and 24,793,251 is: 53,988,676.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385,819 : 24,793,251 = 24,793,251 : x
  2. Step 2: Convert to fraction form
    11,385,819/24,793,251 = 24,793,251/x
  3. Step 3: Cross multiply
    11,385,819x = 24,793,251 × 24,793,251
  4. Step 4: Simplify right side
    11,385,819x = 614,705,295,149,001
  5. Step 5: Solve for x
    x = 614,705,295,149,001/11,385,819
  6. Step 6: Final answer
    x = 53,988,676.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.