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Finding the Third Proportional to 20,231,876 and 30,348,461

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Solution

The third proportional to 20,231,876 and 30,348,461 is: 45,523,662.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,231,876 : 30,348,461 = 30,348,461 : x
  2. Step 2: Convert to fraction form
    20,231,876/30,348,461 = 30,348,461/x
  3. Step 3: Cross multiply
    20,231,876x = 30,348,461 × 30,348,461
  4. Step 4: Simplify right side
    20,231,876x = 921,029,085,068,521
  5. Step 5: Solve for x
    x = 921,029,085,068,521/20,231,876
  6. Step 6: Final answer
    x = 45,523,662.02

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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.