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Finding the Third Proportional to 254,741,036 and 552,732,184

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Solution

The third proportional to 254,741,036 and 552,732,184 is: 1,199,307,626.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,741,036 : 552,732,184 = 552,732,184 : x
  2. Step 2: Convert to fraction form
    254,741,036/552,732,184 = 552,732,184/x
  3. Step 3: Cross multiply
    254,741,036x = 552,732,184 × 552,732,184
  4. Step 4: Simplify right side
    254,741,036x = 305,512,867,229,409,856
  5. Step 5: Solve for x
    x = 305,512,867,229,409,856/254,741,036
  6. Step 6: Final answer
    x = 1,199,307,626.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.