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Finding the Third Proportional to 2,321,903,153.50 and 5,051,931,125

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Solution

The third proportional to 2,321,903,153.50 and 5,051,931,125 is: 10,991,848,670.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321,903,153.50 : 5,051,931,125 = 5,051,931,125 : x
  2. Step 2: Convert to fraction form
    2,321,903,153.50/5,051,931,125 = 5,051,931,125/x
  3. Step 3: Cross multiply
    2,321,903,153.50x = 5,051,931,125 × 5,051,931,125
  4. Step 4: Simplify right side
    2,321,903,153.50x = 25,522,008,091,743,764,480
  5. Step 5: Solve for x
    x = 25,522,008,091,743,764,480/2,321,903,153.50
  6. Step 6: Final answer
    x = 10,991,848,670.89

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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.