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Finding the Third Proportional to 2,321,903,156 and 5,051,931,129

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Solution

The third proportional to 2,321,903,156 and 5,051,931,129 is: 10,991,848,676.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321,903,156 : 5,051,931,129 = 5,051,931,129 : x
  2. Step 2: Convert to fraction form
    2,321,903,156/5,051,931,129 = 5,051,931,129/x
  3. Step 3: Cross multiply
    2,321,903,156x = 5,051,931,129 × 5,051,931,129
  4. Step 4: Simplify right side
    2,321,903,156x = 25,522,008,132,159,213,568
  5. Step 5: Solve for x
    x = 25,522,008,132,159,213,568/2,321,903,156
  6. Step 6: Final answer
    x = 10,991,848,676.47

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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.