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Finding the Third Proportional to 7,823,549 and 11,967,902

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Solution

The third proportional to 7,823,549 and 11,967,902 is: 18,307,634.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823,549 : 11,967,902 = 11,967,902 : x
  2. Step 2: Convert to fraction form
    7,823,549/11,967,902 = 11,967,902/x
  3. Step 3: Cross multiply
    7,823,549x = 11,967,902 × 11,967,902
  4. Step 4: Simplify right side
    7,823,549x = 143,230,678,281,604
  5. Step 5: Solve for x
    x = 143,230,678,281,604/7,823,549
  6. Step 6: Final answer
    x = 18,307,634.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.