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Finding the Third Proportional to 37,347,833,687 and 80,658,841,942

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Solution

The third proportional to 37,347,833,687 and 80,658,841,942 is: 174,196,148,508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,347,833,687 : 80,658,841,942 = 80,658,841,942 : x
  2. Step 2: Convert to fraction form
    37,347,833,687/80,658,841,942 = 80,658,841,942/x
  3. Step 3: Cross multiply
    37,347,833,687x = 80,658,841,942 × 80,658,841,942
  4. Step 4: Simplify right side
    37,347,833,687x = 6,505,848,783,424,538,542,080
  5. Step 5: Solve for x
    x = 6,505,848,783,424,538,542,080/37,347,833,687
  6. Step 6: Final answer
    x = 174,196,148,508.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.