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Finding the Third Proportional to 37,077,750 and 54,289,302

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Solution

The third proportional to 37,077,750 and 54,289,302 is: 79,490,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,077,750 : 54,289,302 = 54,289,302 : x
  2. Step 2: Convert to fraction form
    37,077,750/54,289,302 = 54,289,302/x
  3. Step 3: Cross multiply
    37,077,750x = 54,289,302 × 54,289,302
  4. Step 4: Simplify right side
    37,077,750x = 2,947,328,311,647,204
  5. Step 5: Solve for x
    x = 2,947,328,311,647,204/37,077,750
  6. Step 6: Final answer
    x = 79,490,484.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.