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Finding the Third Proportional to 5,378,548,224.09 and 11,512,654,633.69

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Solution

The third proportional to 5,378,548,224.09 and 11,512,654,633.69 is: 24,642,563,604.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378,548,224.09 : 11,512,654,633.69 = 11,512,654,633.69 : x
  2. Step 2: Convert to fraction form
    5,378,548,224.09/11,512,654,633.69 = 11,512,654,633.69/x
  3. Step 3: Cross multiply
    5,378,548,224.09x = 11,512,654,633.69 × 11,512,654,633.69
  4. Step 4: Simplify right side
    5,378,548,224.09x = 132,541,216,714,577,772,544
  5. Step 5: Solve for x
    x = 132,541,216,714,577,772,544/5,378,548,224.09
  6. Step 6: Final answer
    x = 24,642,563,604.96

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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.