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Finding the Third Proportional to 38,227,063,898 and 53,151,676,750

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Solution

The third proportional to 38,227,063,898 and 53,151,676,750 is: 73,903,157,953.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,227,063,898 : 53,151,676,750 = 53,151,676,750 : x
  2. Step 2: Convert to fraction form
    38,227,063,898/53,151,676,750 = 53,151,676,750/x
  3. Step 3: Cross multiply
    38,227,063,898x = 53,151,676,750 × 53,151,676,750
  4. Step 4: Simplify right side
    38,227,063,898x = 2,825,100,741,336,490,311,680
  5. Step 5: Solve for x
    x = 2,825,100,741,336,490,311,680/38,227,063,898
  6. Step 6: Final answer
    x = 73,903,157,953.08

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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.