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Finding the Third Proportional to 25,463,840 and 49,628,224

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Solution

The third proportional to 25,463,840 and 49,628,224 is: 96,723,849.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,463,840 : 49,628,224 = 49,628,224 : x
  2. Step 2: Convert to fraction form
    25,463,840/49,628,224 = 49,628,224/x
  3. Step 3: Cross multiply
    25,463,840x = 49,628,224 × 49,628,224
  4. Step 4: Simplify right side
    25,463,840x = 2,462,960,617,394,176
  5. Step 5: Solve for x
    x = 2,462,960,617,394,176/25,463,840
  6. Step 6: Final answer
    x = 96,723,849.09

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.