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Finding the Third Proportional to 235,911,991,282 and 519,910,358,804

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Solution

The third proportional to 235,911,991,282 and 519,910,358,804 is: 1,145,795,004,835.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,911,991,282 : 519,910,358,804 = 519,910,358,804 : x
  2. Step 2: Convert to fraction form
    235,911,991,282/519,910,358,804 = 519,910,358,804/x
  3. Step 3: Cross multiply
    235,911,991,282x = 519,910,358,804 × 519,910,358,804
  4. Step 4: Simplify right side
    235,911,991,282x = 270,306,781,191,704,022,089,728
  5. Step 5: Solve for x
    x = 270,306,781,191,704,022,089,728/235,911,991,282
  6. Step 6: Final answer
    x = 1,145,795,004,835.47

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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.