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Finding the Third Proportional to 11,692,443,212 and 27,283,310,419

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Solution

The third proportional to 11,692,443,212 and 27,283,310,419 is: 63,663,257,877.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692,443,212 : 27,283,310,419 = 27,283,310,419 : x
  2. Step 2: Convert to fraction form
    11,692,443,212/27,283,310,419 = 27,283,310,419/x
  3. Step 3: Cross multiply
    11,692,443,212x = 27,283,310,419 × 27,283,310,419
  4. Step 4: Simplify right side
    11,692,443,212x = 744,379,027,419,514,011,648
  5. Step 5: Solve for x
    x = 744,379,027,419,514,011,648/11,692,443,212
  6. Step 6: Final answer
    x = 63,663,257,877.15

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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.