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Finding the Third Proportional to 20,715,696 and 31,361,448

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Solution

The third proportional to 20,715,696 and 31,361,448 is: 47,478,029.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,715,696 : 31,361,448 = 31,361,448 : x
  2. Step 2: Convert to fraction form
    20,715,696/31,361,448 = 31,361,448/x
  3. Step 3: Cross multiply
    20,715,696x = 31,361,448 × 31,361,448
  4. Step 4: Simplify right side
    20,715,696x = 983,540,420,656,704
  5. Step 5: Solve for x
    x = 983,540,420,656,704/20,715,696
  6. Step 6: Final answer
    x = 47,478,029.25

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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.