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Finding the Third Proportional to 821,540,252 and 1,826,765,174

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Solution

The third proportional to 821,540,252 and 1,826,765,174 is: 4,061,968,957.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,540,252 : 1,826,765,174 = 1,826,765,174 : x
  2. Step 2: Convert to fraction form
    821,540,252/1,826,765,174 = 1,826,765,174/x
  3. Step 3: Cross multiply
    821,540,252x = 1,826,765,174 × 1,826,765,174
  4. Step 4: Simplify right side
    821,540,252x = 3,337,071,000,939,250,176
  5. Step 5: Solve for x
    x = 3,337,071,000,939,250,176/821,540,252
  6. Step 6: Final answer
    x = 4,061,968,957.47

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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.