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Finding the Third Proportional to 4,067,390.25 and 6,142,770

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Solution

The third proportional to 4,067,390.25 and 6,142,770 is: 9,277,109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067,390.25 : 6,142,770 = 6,142,770 : x
  2. Step 2: Convert to fraction form
    4,067,390.25/6,142,770 = 6,142,770/x
  3. Step 3: Cross multiply
    4,067,390.25x = 6,142,770 × 6,142,770
  4. Step 4: Simplify right side
    4,067,390.25x = 37,733,623,272,900
  5. Step 5: Solve for x
    x = 37,733,623,272,900/4,067,390.25
  6. Step 6: Final answer
    x = 9,277,109.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.