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Finding the Third Proportional to 14,400,922 and 31,491,825

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Solution

The third proportional to 14,400,922 and 31,491,825 is: 68,866,079.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400,922 : 31,491,825 = 31,491,825 : x
  2. Step 2: Convert to fraction form
    14,400,922/31,491,825 = 31,491,825/x
  3. Step 3: Cross multiply
    14,400,922x = 31,491,825 × 31,491,825
  4. Step 4: Simplify right side
    14,400,922x = 991,735,041,830,625
  5. Step 5: Solve for x
    x = 991,735,041,830,625/14,400,922
  6. Step 6: Final answer
    x = 68,866,079.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.