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Finding the Third Proportional to 37,933,398 and 54,206,037

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Solution

The third proportional to 37,933,398 and 54,206,037 is: 77,459,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,933,398 : 54,206,037 = 54,206,037 : x
  2. Step 2: Convert to fraction form
    37,933,398/54,206,037 = 54,206,037/x
  3. Step 3: Cross multiply
    37,933,398x = 54,206,037 × 54,206,037
  4. Step 4: Simplify right side
    37,933,398x = 2,938,294,447,245,369
  5. Step 5: Solve for x
    x = 2,938,294,447,245,369/37,933,398
  6. Step 6: Final answer
    x = 77,459,299.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.