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Finding the Third Proportional to 235,911,991,038 and 519,910,358,322

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Solution

The third proportional to 235,911,991,038 and 519,910,358,322 is: 1,145,795,003,896.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,911,991,038 : 519,910,358,322 = 519,910,358,322 : x
  2. Step 2: Convert to fraction form
    235,911,991,038/519,910,358,322 = 519,910,358,322/x
  3. Step 3: Cross multiply
    235,911,991,038x = 519,910,358,322 × 519,910,358,322
  4. Step 4: Simplify right side
    235,911,991,038x = 270,306,780,690,510,430,339,072
  5. Step 5: Solve for x
    x = 270,306,780,690,510,430,339,072/235,911,991,038
  6. Step 6: Final answer
    x = 1,145,795,003,896.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.