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Finding the Third Proportional to 14,151,992 and 30,323,314

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Solution

The third proportional to 14,151,992 and 30,323,314 is: 64,973,423.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,151,992 : 30,323,314 = 30,323,314 : x
  2. Step 2: Convert to fraction form
    14,151,992/30,323,314 = 30,323,314/x
  3. Step 3: Cross multiply
    14,151,992x = 30,323,314 × 30,323,314
  4. Step 4: Simplify right side
    14,151,992x = 919,503,371,942,596
  5. Step 5: Solve for x
    x = 919,503,371,942,596/14,151,992
  6. Step 6: Final answer
    x = 64,973,423.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.