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Finding the Third Proportional to 39,989,445,765 and 85,997,165,604

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Solution

The third proportional to 39,989,445,765 and 85,997,165,604 is: 184,936,608,908.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,989,445,765 : 85,997,165,604 = 85,997,165,604 : x
  2. Step 2: Convert to fraction form
    39,989,445,765/85,997,165,604 = 85,997,165,604/x
  3. Step 3: Cross multiply
    39,989,445,765x = 85,997,165,604 × 85,997,165,604
  4. Step 4: Simplify right side
    39,989,445,765x = 7,395,512,491,921,800,953,856
  5. Step 5: Solve for x
    x = 7,395,512,491,921,800,953,856/39,989,445,765
  6. Step 6: Final answer
    x = 184,936,608,908.81

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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.