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Finding the Third Proportional to 5,755,477,074 and 12,524,422,338

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Solution

The third proportional to 5,755,477,074 and 12,524,422,338 is: 27,254,240,245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755,477,074 : 12,524,422,338 = 12,524,422,338 : x
  2. Step 2: Convert to fraction form
    5,755,477,074/12,524,422,338 = 12,524,422,338/x
  3. Step 3: Cross multiply
    5,755,477,074x = 12,524,422,338 × 12,524,422,338
  4. Step 4: Simplify right side
    5,755,477,074x = 156,861,154,900,593,377,280
  5. Step 5: Solve for x
    x = 156,861,154,900,593,377,280/5,755,477,074
  6. Step 6: Final answer
    x = 27,254,240,245.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.