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Finding the Third Proportional to 821,540,247 and 1,826,765,166

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Solution

The third proportional to 821,540,247 and 1,826,765,166 is: 4,061,968,946.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,540,247 : 1,826,765,166 = 1,826,765,166 : x
  2. Step 2: Convert to fraction form
    821,540,247/1,826,765,166 = 1,826,765,166/x
  3. Step 3: Cross multiply
    821,540,247x = 1,826,765,166 × 1,826,765,166
  4. Step 4: Simplify right side
    821,540,247x = 3,337,070,971,711,007,744
  5. Step 5: Solve for x
    x = 3,337,070,971,711,007,744/821,540,247
  6. Step 6: Final answer
    x = 4,061,968,946.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.