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Finding the Third Proportional to 3,876,142.55 and 5,776,419.75

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Solution

The third proportional to 3,876,142.55 and 5,776,419.75 is: 8,608,307.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876,142.55 : 5,776,419.75 = 5,776,419.75 : x
  2. Step 2: Convert to fraction form
    3,876,142.55/5,776,419.75 = 5,776,419.75/x
  3. Step 3: Cross multiply
    3,876,142.55x = 5,776,419.75 × 5,776,419.75
  4. Step 4: Simplify right side
    3,876,142.55x = 33,367,025,128,190.06
  5. Step 5: Solve for x
    x = 33,367,025,128,190.06/3,876,142.55
  6. Step 6: Final answer
    x = 8,608,307.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.