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Finding the Third Proportional to 2,321,903,178 and 5,051,931,174

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Solution

The third proportional to 2,321,903,178 and 5,051,931,174 is: 10,991,848,768.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321,903,178 : 5,051,931,174 = 5,051,931,174 : x
  2. Step 2: Convert to fraction form
    2,321,903,178/5,051,931,174 = 5,051,931,174/x
  3. Step 3: Cross multiply
    2,321,903,178x = 5,051,931,174 × 5,051,931,174
  4. Step 4: Simplify right side
    2,321,903,178x = 25,522,008,586,833,018,880
  5. Step 5: Solve for x
    x = 25,522,008,586,833,018,880/2,321,903,178
  6. Step 6: Final answer
    x = 10,991,848,768.14

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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.