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Finding the Third Proportional to 12,357,445.50 and 25,844,197.50

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Solution

The third proportional to 12,357,445.50 and 25,844,197.50 is: 54,050,211.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357,445.50 : 25,844,197.50 = 25,844,197.50 : x
  2. Step 2: Convert to fraction form
    12,357,445.50/25,844,197.50 = 25,844,197.50/x
  3. Step 3: Cross multiply
    12,357,445.50x = 25,844,197.50 × 25,844,197.50
  4. Step 4: Simplify right side
    12,357,445.50x = 667,922,544,419,006.25
  5. Step 5: Solve for x
    x = 667,922,544,419,006.25/12,357,445.50
  6. Step 6: Final answer
    x = 54,050,211.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.