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Finding the Third Proportional to 25,193,266 and 37,783,323

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Solution

The third proportional to 25,193,266 and 37,783,323 is: 56,665,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,193,266 : 37,783,323 = 37,783,323 : x
  2. Step 2: Convert to fraction form
    25,193,266/37,783,323 = 37,783,323/x
  3. Step 3: Cross multiply
    25,193,266x = 37,783,323 × 37,783,323
  4. Step 4: Simplify right side
    25,193,266x = 1,427,579,496,922,329
  5. Step 5: Solve for x
    x = 1,427,579,496,922,329/25,193,266
  6. Step 6: Final answer
    x = 56,665,122.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.