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Finding the Third Proportional to 775,230,032 and 1,191,584,231

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Solution

The third proportional to 775,230,032 and 1,191,584,231 is: 1,831,550,534.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,230,032 : 1,191,584,231 = 1,191,584,231 : x
  2. Step 2: Convert to fraction form
    775,230,032/1,191,584,231 = 1,191,584,231/x
  3. Step 3: Cross multiply
    775,230,032x = 1,191,584,231 × 1,191,584,231
  4. Step 4: Simplify right side
    775,230,032x = 1,419,872,979,567,861,248
  5. Step 5: Solve for x
    x = 1,419,872,979,567,861,248/775,230,032
  6. Step 6: Final answer
    x = 1,831,550,534.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.