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Finding the Third Proportional to 4,077,164.44 and 5,703,166.69

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Solution

The third proportional to 4,077,164.44 and 5,703,166.69 is: 7,977,630.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077,164.44 : 5,703,166.69 = 5,703,166.69 : x
  2. Step 2: Convert to fraction form
    4,077,164.44/5,703,166.69 = 5,703,166.69/x
  3. Step 3: Cross multiply
    4,077,164.44x = 5,703,166.69 × 5,703,166.69
  4. Step 4: Simplify right side
    4,077,164.44x = 32,526,110,265,409.72
  5. Step 5: Solve for x
    x = 32,526,110,265,409.72/4,077,164.44
  6. Step 6: Final answer
    x = 7,977,630.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.