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Finding the Third Proportional to 9,833,208 and 15,425,394

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Solution

The third proportional to 9,833,208 and 15,425,394 is: 24,197,879.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833,208 : 15,425,394 = 15,425,394 : x
  2. Step 2: Convert to fraction form
    9,833,208/15,425,394 = 15,425,394/x
  3. Step 3: Cross multiply
    9,833,208x = 15,425,394 × 15,425,394
  4. Step 4: Simplify right side
    9,833,208x = 237,942,780,055,236
  5. Step 5: Solve for x
    x = 237,942,780,055,236/9,833,208
  6. Step 6: Final answer
    x = 24,197,879.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.