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Finding the Third Proportional to 20,715,673 and 31,361,414

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Solution

The third proportional to 20,715,673 and 31,361,414 is: 47,477,979.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,715,673 : 31,361,414 = 31,361,414 : x
  2. Step 2: Convert to fraction form
    20,715,673/31,361,414 = 31,361,414/x
  3. Step 3: Cross multiply
    20,715,673x = 31,361,414 × 31,361,414
  4. Step 4: Simplify right side
    20,715,673x = 983,538,288,079,396
  5. Step 5: Solve for x
    x = 983,538,288,079,396/20,715,673
  6. Step 6: Final answer
    x = 47,477,979.02

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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.