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Finding the Third Proportional to 24,226,123.75 and 37,237,229.75

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Solution

The third proportional to 24,226,123.75 and 37,237,229.75 is: 57,236,200.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,226,123.75 : 37,237,229.75 = 37,237,229.75 : x
  2. Step 2: Convert to fraction form
    24,226,123.75/37,237,229.75 = 37,237,229.75/x
  3. Step 3: Cross multiply
    24,226,123.75x = 37,237,229.75 × 37,237,229.75
  4. Step 4: Simplify right side
    24,226,123.75x = 1,386,611,279,454,285
  5. Step 5: Solve for x
    x = 1,386,611,279,454,285/24,226,123.75
  6. Step 6: Final answer
    x = 57,236,200.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.