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Finding the Third Proportional to 5,174,840,618 and 11,256,366,842

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Solution

The third proportional to 5,174,840,618 and 11,256,366,842 is: 24,484,965,593.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174,840,618 : 11,256,366,842 = 11,256,366,842 : x
  2. Step 2: Convert to fraction form
    5,174,840,618/11,256,366,842 = 11,256,366,842/x
  3. Step 3: Cross multiply
    5,174,840,618x = 11,256,366,842 × 11,256,366,842
  4. Step 4: Simplify right side
    5,174,840,618x = 126,705,794,481,677,058,048
  5. Step 5: Solve for x
    x = 126,705,794,481,677,058,048/5,174,840,618
  6. Step 6: Final answer
    x = 24,484,965,593.13

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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.