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Finding the Third Proportional to 7,117,262,206 and 15,305,647,900

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Solution

The third proportional to 7,117,262,206 and 15,305,647,900 is: 32,914,743,177.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117,262,206 : 15,305,647,900 = 15,305,647,900 : x
  2. Step 2: Convert to fraction form
    7,117,262,206/15,305,647,900 = 15,305,647,900/x
  3. Step 3: Cross multiply
    7,117,262,206x = 15,305,647,900 × 15,305,647,900
  4. Step 4: Simplify right side
    7,117,262,206x = 234,262,857,638,774,407,168
  5. Step 5: Solve for x
    x = 234,262,857,638,774,407,168/7,117,262,206
  6. Step 6: Final answer
    x = 32,914,743,177.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.