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Finding the Third Proportional to 71,776,593 and 157,449,258

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Solution

The third proportional to 71,776,593 and 157,449,258 is: 345,380,963.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,776,593 : 157,449,258 = 157,449,258 : x
  2. Step 2: Convert to fraction form
    71,776,593/157,449,258 = 157,449,258/x
  3. Step 3: Cross multiply
    71,776,593x = 157,449,258 × 157,449,258
  4. Step 4: Simplify right side
    71,776,593x = 24,790,268,844,750,564
  5. Step 5: Solve for x
    x = 24,790,268,844,750,564/71,776,593
  6. Step 6: Final answer
    x = 345,380,963.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.