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Finding the Third Proportional to 36,954,103,066 and 75,867,255,380

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Solution

The third proportional to 36,954,103,066 and 75,867,255,380 is: 155,756,464,407.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,954,103,066 : 75,867,255,380 = 75,867,255,380 : x
  2. Step 2: Convert to fraction form
    36,954,103,066/75,867,255,380 = 75,867,255,380/x
  3. Step 3: Cross multiply
    36,954,103,066x = 75,867,255,380 × 75,867,255,380
  4. Step 4: Simplify right side
    36,954,103,066x = 5,755,840,438,894,139,015,168
  5. Step 5: Solve for x
    x = 5,755,840,438,894,139,015,168/36,954,103,066
  6. Step 6: Final answer
    x = 155,756,464,407.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.