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Finding the Third Proportional to 36,934,760,804 and 74,897,274,496

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Solution

The third proportional to 36,934,760,804 and 74,897,274,496 is: 151,878,653,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,934,760,804 : 74,897,274,496 = 74,897,274,496 : x
  2. Step 2: Convert to fraction form
    36,934,760,804/74,897,274,496 = 74,897,274,496/x
  3. Step 3: Cross multiply
    36,934,760,804x = 74,897,274,496 × 74,897,274,496
  4. Step 4: Simplify right side
    36,934,760,804x = 5,609,601,726,929,172,430,848
  5. Step 5: Solve for x
    x = 5,609,601,726,929,172,430,848/36,934,760,804
  6. Step 6: Final answer
    x = 151,878,653,193.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.