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Finding the Third Proportional to 36,934,760,971 and 74,897,274,809

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Solution

The third proportional to 36,934,760,971 and 74,897,274,809 is: 151,878,653,776.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,934,760,971 : 74,897,274,809 = 74,897,274,809 : x
  2. Step 2: Convert to fraction form
    36,934,760,971/74,897,274,809 = 74,897,274,809/x
  3. Step 3: Cross multiply
    36,934,760,971x = 74,897,274,809 × 74,897,274,809
  4. Step 4: Simplify right side
    36,934,760,971x = 5,609,601,773,814,866,247,680
  5. Step 5: Solve for x
    x = 5,609,601,773,814,866,247,680/36,934,760,971
  6. Step 6: Final answer
    x = 151,878,653,776.03

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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.