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Finding the Third Proportional to 36,934,760,975 and 74,897,274,817

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Solution

The third proportional to 36,934,760,975 and 74,897,274,817 is: 151,878,653,792.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,934,760,975 : 74,897,274,817 = 74,897,274,817 : x
  2. Step 2: Convert to fraction form
    36,934,760,975/74,897,274,817 = 74,897,274,817/x
  3. Step 3: Cross multiply
    36,934,760,975x = 74,897,274,817 × 74,897,274,817
  4. Step 4: Simplify right side
    36,934,760,975x = 5,609,601,775,013,221,892,096
  5. Step 5: Solve for x
    x = 5,609,601,775,013,221,892,096/36,934,760,975
  6. Step 6: Final answer
    x = 151,878,653,792.03

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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.