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Finding the Third Proportional to 20,711,830.50 and 31,067,748

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Solution

The third proportional to 20,711,830.50 and 31,067,748 is: 46,601,625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,711,830.50 : 31,067,748 = 31,067,748 : x
  2. Step 2: Convert to fraction form
    20,711,830.50/31,067,748 = 31,067,748/x
  3. Step 3: Cross multiply
    20,711,830.50x = 31,067,748 × 31,067,748
  4. Step 4: Simplify right side
    20,711,830.50x = 965,204,965,791,504
  5. Step 5: Solve for x
    x = 965,204,965,791,504/20,711,830.50
  6. Step 6: Final answer
    x = 46,601,625.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.