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Finding the Third Proportional to 20,715,682 and 31,361,427

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Solution

The third proportional to 20,715,682 and 31,361,427 is: 47,477,997.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,715,682 : 31,361,427 = 31,361,427 : x
  2. Step 2: Convert to fraction form
    20,715,682/31,361,427 = 31,361,427/x
  3. Step 3: Cross multiply
    20,715,682x = 31,361,427 × 31,361,427
  4. Step 4: Simplify right side
    20,715,682x = 983,539,103,476,329
  5. Step 5: Solve for x
    x = 983,539,103,476,329/20,715,682
  6. Step 6: Final answer
    x = 47,477,997.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.