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Finding the Third Proportional to 9,425,208 and 14,654,381

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Solution

The third proportional to 9,425,208 and 14,654,381 is: 22,784,736.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425,208 : 14,654,381 = 14,654,381 : x
  2. Step 2: Convert to fraction form
    9,425,208/14,654,381 = 14,654,381/x
  3. Step 3: Cross multiply
    9,425,208x = 14,654,381 × 14,654,381
  4. Step 4: Simplify right side
    9,425,208x = 214,750,882,493,161
  5. Step 5: Solve for x
    x = 214,750,882,493,161/9,425,208
  6. Step 6: Final answer
    x = 22,784,736.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.