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Finding the Third Proportional to 17,327,378,398 and 37,976,528,767

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Solution

The third proportional to 17,327,378,398 and 37,976,528,767 is: 83,233,406,927.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,327,378,398 : 37,976,528,767 = 37,976,528,767 : x
  2. Step 2: Convert to fraction form
    17,327,378,398/37,976,528,767 = 37,976,528,767/x
  3. Step 3: Cross multiply
    17,327,378,398x = 37,976,528,767 × 37,976,528,767
  4. Step 4: Simplify right side
    17,327,378,398x = 1,442,216,737,190,778,503,168
  5. Step 5: Solve for x
    x = 1,442,216,737,190,778,503,168/17,327,378,398
  6. Step 6: Final answer
    x = 83,233,406,927.69

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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.