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Finding the Third Proportional to 36,954,103,064 and 75,867,255,376

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Solution

The third proportional to 36,954,103,064 and 75,867,255,376 is: 155,756,464,399.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,954,103,064 : 75,867,255,376 = 75,867,255,376 : x
  2. Step 2: Convert to fraction form
    36,954,103,064/75,867,255,376 = 75,867,255,376/x
  3. Step 3: Cross multiply
    36,954,103,064x = 75,867,255,376 × 75,867,255,376
  4. Step 4: Simplify right side
    36,954,103,064x = 5,755,840,438,287,201,206,272
  5. Step 5: Solve for x
    x = 5,755,840,438,287,201,206,272/36,954,103,064
  6. Step 6: Final answer
    x = 155,756,464,399.06

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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.