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Finding the Third Proportional to 39,989,445,748 and 85,997,165,571

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Solution

The third proportional to 39,989,445,748 and 85,997,165,571 is: 184,936,608,845.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,989,445,748 : 85,997,165,571 = 85,997,165,571 : x
  2. Step 2: Convert to fraction form
    39,989,445,748/85,997,165,571 = 85,997,165,571/x
  3. Step 3: Cross multiply
    39,989,445,748x = 85,997,165,571 × 85,997,165,571
  4. Step 4: Simplify right side
    39,989,445,748x = 7,395,512,486,245,988,040,704
  5. Step 5: Solve for x
    x = 7,395,512,486,245,988,040,704/39,989,445,748
  6. Step 6: Final answer
    x = 184,936,608,845.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.