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Finding the Third Proportional to 20,200,080 and 31,342,214

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Solution

The third proportional to 20,200,080 and 31,342,214 is: 48,630,222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200,080 : 31,342,214 = 31,342,214 : x
  2. Step 2: Convert to fraction form
    20,200,080/31,342,214 = 31,342,214/x
  3. Step 3: Cross multiply
    20,200,080x = 31,342,214 × 31,342,214
  4. Step 4: Simplify right side
    20,200,080x = 982,334,378,421,796
  5. Step 5: Solve for x
    x = 982,334,378,421,796/20,200,080
  6. Step 6: Final answer
    x = 48,630,222.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.