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Finding the Third Proportional to 475,825,917 and 727,415,232

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Solution

The third proportional to 475,825,917 and 727,415,232 is: 1,112,030,473.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,825,917 : 727,415,232 = 727,415,232 : x
  2. Step 2: Convert to fraction form
    475,825,917/727,415,232 = 727,415,232/x
  3. Step 3: Cross multiply
    475,825,917x = 727,415,232 × 727,415,232
  4. Step 4: Simplify right side
    475,825,917x = 529,132,919,745,613,824
  5. Step 5: Solve for x
    x = 529,132,919,745,613,824/475,825,917
  6. Step 6: Final answer
    x = 1,112,030,473.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.