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Finding the Third Proportional to 7,993,314 and 10,835,219

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Solution

The third proportional to 7,993,314 and 10,835,219 is: 14,687,521.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993,314 : 10,835,219 = 10,835,219 : x
  2. Step 2: Convert to fraction form
    7,993,314/10,835,219 = 10,835,219/x
  3. Step 3: Cross multiply
    7,993,314x = 10,835,219 × 10,835,219
  4. Step 4: Simplify right side
    7,993,314x = 117,401,970,777,961
  5. Step 5: Solve for x
    x = 117,401,970,777,961/7,993,314
  6. Step 6: Final answer
    x = 14,687,521.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.