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Finding the Third Proportional to 17,047,677,992,026 and 34,999,103,057,005

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Solution

The third proportional to 17,047,677,992,026 and 34,999,103,057,005 is: 71,853,610,525,012.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,047,677,992,026 : 34,999,103,057,005 = 34,999,103,057,005 : x
  2. Step 2: Convert to fraction form
    17,047,677,992,026/34,999,103,057,005 = 34,999,103,057,005/x
  3. Step 3: Cross multiply
    17,047,677,992,026x = 34,999,103,057,005 × 34,999,103,057,005
  4. Step 4: Simplify right side
    17,047,677,992,026x = 1,224,937,214,794,856,800,393,887,744
  5. Step 5: Solve for x
    x = 1,224,937,214,794,856,800,393,887,744/17,047,677,992,026
  6. Step 6: Final answer
    x = 71,853,610,525,012.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.