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Finding the Third Proportional to 20,200,028 and 31,342,114

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Solution

The third proportional to 20,200,028 and 31,342,114 is: 48,630,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200,028 : 31,342,114 = 31,342,114 : x
  2. Step 2: Convert to fraction form
    20,200,028/31,342,114 = 31,342,114/x
  3. Step 3: Cross multiply
    20,200,028x = 31,342,114 × 31,342,114
  4. Step 4: Simplify right side
    20,200,028x = 982,328,109,988,996
  5. Step 5: Solve for x
    x = 982,328,109,988,996/20,200,028
  6. Step 6: Final answer
    x = 48,630,037.05

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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.