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Finding the Third Proportional to 3,167,873.44 and 4,907,451.66

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Solution

The third proportional to 3,167,873.44 and 4,907,451.66 is: 7,602,286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167,873.44 : 4,907,451.66 = 4,907,451.66 : x
  2. Step 2: Convert to fraction form
    3,167,873.44/4,907,451.66 = 4,907,451.66/x
  3. Step 3: Cross multiply
    3,167,873.44x = 4,907,451.66 × 4,907,451.66
  4. Step 4: Simplify right side
    3,167,873.44x = 24,083,081,758,430.87
  5. Step 5: Solve for x
    x = 24,083,081,758,430.87/3,167,873.44
  6. Step 6: Final answer
    x = 7,602,286.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.