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Finding the Third Proportional to 11,431,897,844 and 24,517,877,250

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Solution

The third proportional to 11,431,897,844 and 24,517,877,250 is: 52,583,246,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431,897,844 : 24,517,877,250 = 24,517,877,250 : x
  2. Step 2: Convert to fraction form
    11,431,897,844/24,517,877,250 = 24,517,877,250/x
  3. Step 3: Cross multiply
    11,431,897,844x = 24,517,877,250 × 24,517,877,250
  4. Step 4: Simplify right side
    11,431,897,844x = 601,126,304,846,067,531,776
  5. Step 5: Solve for x
    x = 601,126,304,846,067,531,776/11,431,897,844
  6. Step 6: Final answer
    x = 52,583,246,723.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.