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Finding the Third Proportional to 38,227,063,998 and 53,151,676,944

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Solution

The third proportional to 38,227,063,998 and 53,151,676,944 is: 73,903,158,299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,227,063,998 : 53,151,676,944 = 53,151,676,944 : x
  2. Step 2: Convert to fraction form
    38,227,063,998/53,151,676,944 = 53,151,676,944/x
  3. Step 3: Cross multiply
    38,227,063,998x = 53,151,676,944 × 53,151,676,944
  4. Step 4: Simplify right side
    38,227,063,998x = 2,825,100,761,959,340,965,888
  5. Step 5: Solve for x
    x = 2,825,100,761,959,340,965,888/38,227,063,998
  6. Step 6: Final answer
    x = 73,903,158,299.24

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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.