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Finding the Third Proportional to 5,105,713,932 and 11,179,979,208

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Solution

The third proportional to 5,105,713,932 and 11,179,979,208 is: 24,480,794,802.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105,713,932 : 11,179,979,208 = 11,179,979,208 : x
  2. Step 2: Convert to fraction form
    5,105,713,932/11,179,979,208 = 11,179,979,208/x
  3. Step 3: Cross multiply
    5,105,713,932x = 11,179,979,208 × 11,179,979,208
  4. Step 4: Simplify right side
    5,105,713,932x = 124,991,935,091,312,312,320
  5. Step 5: Solve for x
    x = 124,991,935,091,312,312,320/5,105,713,932
  6. Step 6: Final answer
    x = 24,480,794,802.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.