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Finding the Third Proportional to 8,388,416 and 18,346,824

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Solution

The third proportional to 8,388,416 and 18,346,824 is: 40,127,474.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388,416 : 18,346,824 = 18,346,824 : x
  2. Step 2: Convert to fraction form
    8,388,416/18,346,824 = 18,346,824/x
  3. Step 3: Cross multiply
    8,388,416x = 18,346,824 × 18,346,824
  4. Step 4: Simplify right side
    8,388,416x = 336,605,950,886,976
  5. Step 5: Solve for x
    x = 336,605,950,886,976/8,388,416
  6. Step 6: Final answer
    x = 40,127,474.71

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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.