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Finding the Third Proportional to 31,049,045,091 and 67,538,203,293

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Solution

The third proportional to 31,049,045,091 and 67,538,203,293 is: 146,909,796,764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,049,045,091 : 67,538,203,293 = 67,538,203,293 : x
  2. Step 2: Convert to fraction form
    31,049,045,091/67,538,203,293 = 67,538,203,293/x
  3. Step 3: Cross multiply
    31,049,045,091x = 67,538,203,293 × 67,538,203,293
  4. Step 4: Simplify right side
    31,049,045,091x = 4,561,408,904,046,596,063,232
  5. Step 5: Solve for x
    x = 4,561,408,904,046,596,063,232/31,049,045,091
  6. Step 6: Final answer
    x = 146,909,796,764.37

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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.