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Finding the Third Proportional to 11,431,897,824 and 24,517,877,208

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Solution

The third proportional to 11,431,897,824 and 24,517,877,208 is: 52,583,246,635.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431,897,824 : 24,517,877,208 = 24,517,877,208 : x
  2. Step 2: Convert to fraction form
    11,431,897,824/24,517,877,208 = 24,517,877,208/x
  3. Step 3: Cross multiply
    11,431,897,824x = 24,517,877,208 × 24,517,877,208
  4. Step 4: Simplify right side
    11,431,897,824x = 601,126,302,786,565,832,704
  5. Step 5: Solve for x
    x = 601,126,302,786,565,832,704/11,431,897,824
  6. Step 6: Final answer
    x = 52,583,246,635.09

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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.