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Finding the Third Proportional to 34,095,355,976,621 and 69,998,206,100,689

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Solution

The third proportional to 34,095,355,976,621 and 69,998,206,100,689 is: 143,707,221,026,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,095,355,976,621 : 69,998,206,100,689 = 69,998,206,100,689 : x
  2. Step 2: Convert to fraction form
    34,095,355,976,621/69,998,206,100,689 = 69,998,206,100,689/x
  3. Step 3: Cross multiply
    34,095,355,976,621x = 69,998,206,100,689 × 69,998,206,100,689
  4. Step 4: Simplify right side
    34,095,355,976,621x = 4,899,748,857,314,534,534,588,399,616
  5. Step 5: Solve for x
    x = 4,899,748,857,314,534,534,588,399,616/34,095,355,976,621
  6. Step 6: Final answer
    x = 143,707,221,026,648.50

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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.