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Finding the Third Proportional to 232,466,118 and 489,024,876

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Solution

The third proportional to 232,466,118 and 489,024,876 is: 1,028,731,977.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,466,118 : 489,024,876 = 489,024,876 : x
  2. Step 2: Convert to fraction form
    232,466,118/489,024,876 = 489,024,876/x
  3. Step 3: Cross multiply
    232,466,118x = 489,024,876 × 489,024,876
  4. Step 4: Simplify right side
    232,466,118x = 239,145,329,346,815,360
  5. Step 5: Solve for x
    x = 239,145,329,346,815,360/232,466,118
  6. Step 6: Final answer
    x = 1,028,731,977.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.