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Finding the Third Proportional to 1,180,455,727 and 2,524,354,469

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Solution

The third proportional to 1,180,455,727 and 2,524,354,469 is: 5,398,224,888.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,455,727 : 2,524,354,469 = 2,524,354,469 : x
  2. Step 2: Convert to fraction form
    1,180,455,727/2,524,354,469 = 2,524,354,469/x
  3. Step 3: Cross multiply
    1,180,455,727x = 2,524,354,469 × 2,524,354,469
  4. Step 4: Simplify right side
    1,180,455,727x = 6,372,365,485,160,271,872
  5. Step 5: Solve for x
    x = 6,372,365,485,160,271,872/1,180,455,727
  6. Step 6: Final answer
    x = 5,398,224,888.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.