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Finding the Third Proportional to 13,642,612,540.31 and 29,687,520,040.59

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Solution

The third proportional to 13,642,612,540.31 and 29,687,520,040.59 is: 64,602,644,365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642,612,540.31 : 29,687,520,040.59 = 29,687,520,040.59 : x
  2. Step 2: Convert to fraction form
    13,642,612,540.31/29,687,520,040.59 = 29,687,520,040.59/x
  3. Step 3: Cross multiply
    13,642,612,540.31x = 29,687,520,040.59 × 29,687,520,040.59
  4. Step 4: Simplify right side
    13,642,612,540.31x = 881,348,846,160,610,852,864
  5. Step 5: Solve for x
    x = 881,348,846,160,610,852,864/13,642,612,540.31
  6. Step 6: Final answer
    x = 64,602,644,365.69

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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.