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Finding the Third Proportional to 11,692,443,210 and 27,283,310,414

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Solution

The third proportional to 11,692,443,210 and 27,283,310,414 is: 63,663,257,864.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692,443,210 : 27,283,310,414 = 27,283,310,414 : x
  2. Step 2: Convert to fraction form
    11,692,443,210/27,283,310,414 = 27,283,310,414/x
  3. Step 3: Cross multiply
    11,692,443,210x = 27,283,310,414 × 27,283,310,414
  4. Step 4: Simplify right side
    11,692,443,210x = 744,379,027,146,680,827,904
  5. Step 5: Solve for x
    x = 744,379,027,146,680,827,904/11,692,443,210
  6. Step 6: Final answer
    x = 63,663,257,864.71

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.