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Finding the Third Proportional to 2,321,903,172 and 5,051,931,162

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Solution

The third proportional to 2,321,903,172 and 5,051,931,162 is: 10,991,848,744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321,903,172 : 5,051,931,162 = 5,051,931,162 : x
  2. Step 2: Convert to fraction form
    2,321,903,172/5,051,931,162 = 5,051,931,162/x
  3. Step 3: Cross multiply
    2,321,903,172x = 5,051,931,162 × 5,051,931,162
  4. Step 4: Simplify right side
    2,321,903,172x = 25,522,008,465,586,671,616
  5. Step 5: Solve for x
    x = 25,522,008,465,586,671,616/2,321,903,172
  6. Step 6: Final answer
    x = 10,991,848,744.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.