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Finding the Third Proportional to 6,887,277,610,839 and 14,796,649,389,798

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Solution

The third proportional to 6,887,277,610,839 and 14,796,649,389,798 is: 31,789,169,180,584.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,887,277,610,839 : 14,796,649,389,798 = 14,796,649,389,798 : x
  2. Step 2: Convert to fraction form
    6,887,277,610,839/14,796,649,389,798 = 14,796,649,389,798/x
  3. Step 3: Cross multiply
    6,887,277,610,839x = 14,796,649,389,798 × 14,796,649,389,798
  4. Step 4: Simplify right side
    6,887,277,610,839x = 218,940,833,164,609,516,910,673,920
  5. Step 5: Solve for x
    x = 218,940,833,164,609,516,910,673,920/6,887,277,610,839
  6. Step 6: Final answer
    x = 31,789,169,180,584.02

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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.