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Finding the Third Proportional to 446,112,324 and 966,337,704

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Solution

The third proportional to 446,112,324 and 966,337,704 is: 2,093,213,991.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,112,324 : 966,337,704 = 966,337,704 : x
  2. Step 2: Convert to fraction form
    446,112,324/966,337,704 = 966,337,704/x
  3. Step 3: Cross multiply
    446,112,324x = 966,337,704 × 966,337,704
  4. Step 4: Simplify right side
    446,112,324x = 933,808,558,171,991,552
  5. Step 5: Solve for x
    x = 933,808,558,171,991,552/446,112,324
  6. Step 6: Final answer
    x = 2,093,213,991.04

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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.