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Finding the Third Proportional to 8,402,464 and 18,325,824

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Solution

The third proportional to 8,402,464 and 18,325,824 is: 39,968,731.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402,464 : 18,325,824 = 18,325,824 : x
  2. Step 2: Convert to fraction form
    8,402,464/18,325,824 = 18,325,824/x
  3. Step 3: Cross multiply
    8,402,464x = 18,325,824 × 18,325,824
  4. Step 4: Simplify right side
    8,402,464x = 335,835,825,278,976
  5. Step 5: Solve for x
    x = 335,835,825,278,976/8,402,464
  6. Step 6: Final answer
    x = 39,968,731.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.