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Finding the Third Proportional to 38,227,063,916 and 53,151,676,778.50

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Solution

The third proportional to 38,227,063,916 and 53,151,676,778.50 is: 73,903,157,997.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,227,063,916 : 53,151,676,778.50 = 53,151,676,778.50 : x
  2. Step 2: Convert to fraction form
    38,227,063,916/53,151,676,778.50 = 53,151,676,778.50/x
  3. Step 3: Cross multiply
    38,227,063,916x = 53,151,676,778.50 × 53,151,676,778.50
  4. Step 4: Simplify right side
    38,227,063,916x = 2,825,100,744,366,136,229,888
  5. Step 5: Solve for x
    x = 2,825,100,744,366,136,229,888/38,227,063,916
  6. Step 6: Final answer
    x = 73,903,157,997.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.