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Finding the Third Proportional to 446,112,333 and 966,337,722

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Solution

The third proportional to 446,112,333 and 966,337,722 is: 2,093,214,026.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,112,333 : 966,337,722 = 966,337,722 : x
  2. Step 2: Convert to fraction form
    446,112,333/966,337,722 = 966,337,722/x
  3. Step 3: Cross multiply
    446,112,333x = 966,337,722 × 966,337,722
  4. Step 4: Simplify right side
    446,112,333x = 933,808,592,960,149,248
  5. Step 5: Solve for x
    x = 933,808,592,960,149,248/446,112,333
  6. Step 6: Final answer
    x = 2,093,214,026.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.