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Finding the Third Proportional to 11,692,443,214 and 27,283,310,424

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Solution

The third proportional to 11,692,443,214 and 27,283,310,424 is: 63,663,257,889.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692,443,214 : 27,283,310,424 = 27,283,310,424 : x
  2. Step 2: Convert to fraction form
    11,692,443,214/27,283,310,424 = 27,283,310,424/x
  3. Step 3: Cross multiply
    11,692,443,214x = 27,283,310,424 × 27,283,310,424
  4. Step 4: Simplify right side
    11,692,443,214x = 744,379,027,692,347,064,320
  5. Step 5: Solve for x
    x = 744,379,027,692,347,064,320/11,692,443,214
  6. Step 6: Final answer
    x = 63,663,257,889.60

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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.