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Finding the Third Proportional to 36,934,760,720.25 and 74,897,274,348

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Solution

The third proportional to 36,934,760,720.25 and 74,897,274,348 is: 151,878,652,937.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,934,760,720.25 : 74,897,274,348 = 74,897,274,348 : x
  2. Step 2: Convert to fraction form
    36,934,760,720.25/74,897,274,348 = 74,897,274,348/x
  3. Step 3: Cross multiply
    36,934,760,720.25x = 74,897,274,348 × 74,897,274,348
  4. Step 4: Simplify right side
    36,934,760,720.25x = 5,609,601,704,759,578,853,376
  5. Step 5: Solve for x
    x = 5,609,601,704,759,578,853,376/36,934,760,720.25
  6. Step 6: Final answer
    x = 151,878,652,937.48

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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.