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Finding the Third Proportional to 20,715,654 and 31,361,385

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Solution

The third proportional to 20,715,654 and 31,361,385 is: 47,477,934.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,715,654 : 31,361,385 = 31,361,385 : x
  2. Step 2: Convert to fraction form
    20,715,654/31,361,385 = 31,361,385/x
  3. Step 3: Cross multiply
    20,715,654x = 31,361,385 × 31,361,385
  4. Step 4: Simplify right side
    20,715,654x = 983,536,469,118,225
  5. Step 5: Solve for x
    x = 983,536,469,118,225/20,715,654
  6. Step 6: Final answer
    x = 47,477,934.76

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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.