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Finding the Third Proportional to 18,699,633,789,820 and 40,213,498,163,780

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Solution

The third proportional to 18,699,633,789,820 and 40,213,498,163,780 is: 86,478,989,521,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,699,633,789,820 : 40,213,498,163,780 = 40,213,498,163,780 : x
  2. Step 2: Convert to fraction form
    18,699,633,789,820/40,213,498,163,780 = 40,213,498,163,780/x
  3. Step 3: Cross multiply
    18,699,633,789,820x = 40,213,498,163,780 × 40,213,498,163,780
  4. Step 4: Simplify right side
    18,699,633,789,820x = 1,617,125,434,568,337,399,660,675,072
  5. Step 5: Solve for x
    x = 1,617,125,434,568,337,399,660,675,072/18,699,633,789,820
  6. Step 6: Final answer
    x = 86,478,989,521,639.38

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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.