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Finding the Third Proportional to 838,324,158,129.57 and 1,823,531,383,783.20

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Solution

The third proportional to 838,324,158,129.57 and 1,823,531,383,783.20 is: 3,966,564,335,997.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,324,158,129.57 : 1,823,531,383,783.20 = 1,823,531,383,783.20 : x
  2. Step 2: Convert to fraction form
    838,324,158,129.57/1,823,531,383,783.20 = 1,823,531,383,783.20/x
  3. Step 3: Cross multiply
    838,324,158,129.57x = 1,823,531,383,783.20 × 1,823,531,383,783.20
  4. Step 4: Simplify right side
    838,324,158,129.57x = 3,325,266,707,642,272,056,344,576
  5. Step 5: Solve for x
    x = 3,325,266,707,642,272,056,344,576/838,324,158,129.57
  6. Step 6: Final answer
    x = 3,966,564,335,997.97

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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.