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Finding the Third Proportional to 1,180,455,965 and 2,524,354,949

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Solution

The third proportional to 1,180,455,965 and 2,524,354,949 is: 5,398,225,852.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,455,965 : 2,524,354,949 = 2,524,354,949 : x
  2. Step 2: Convert to fraction form
    1,180,455,965/2,524,354,949 = 2,524,354,949/x
  3. Step 3: Cross multiply
    1,180,455,965x = 2,524,354,949 × 2,524,354,949
  4. Step 4: Simplify right side
    1,180,455,965x = 6,372,367,908,540,792,832
  5. Step 5: Solve for x
    x = 6,372,367,908,540,792,832/1,180,455,965
  6. Step 6: Final answer
    x = 5,398,225,852.96

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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.