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Finding the Third Proportional to 20,200,024 and 31,342,130

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Solution

The third proportional to 20,200,024 and 31,342,130 is: 48,630,096.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200,024 : 31,342,130 = 31,342,130 : x
  2. Step 2: Convert to fraction form
    20,200,024/31,342,130 = 31,342,130/x
  3. Step 3: Cross multiply
    20,200,024x = 31,342,130 × 31,342,130
  4. Step 4: Simplify right side
    20,200,024x = 982,329,112,936,900
  5. Step 5: Solve for x
    x = 982,329,112,936,900/20,200,024
  6. Step 6: Final answer
    x = 48,630,096.33

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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.