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Finding the Third Proportional to 2,321,903,152.50 and 5,051,931,123

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Solution

The third proportional to 2,321,903,152.50 and 5,051,931,123 is: 10,991,848,666.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321,903,152.50 : 5,051,931,123 = 5,051,931,123 : x
  2. Step 2: Convert to fraction form
    2,321,903,152.50/5,051,931,123 = 5,051,931,123/x
  3. Step 3: Cross multiply
    2,321,903,152.50x = 5,051,931,123 × 5,051,931,123
  4. Step 4: Simplify right side
    2,321,903,152.50x = 25,522,008,071,536,041,984
  5. Step 5: Solve for x
    x = 25,522,008,071,536,041,984/2,321,903,152.50
  6. Step 6: Final answer
    x = 10,991,848,666.93

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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.