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Finding the Third Proportional to 24,545,742 and 53,400,991

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Solution

The third proportional to 24,545,742 and 53,400,991 is: 116,177,618.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,545,742 : 53,400,991 = 53,400,991 : x
  2. Step 2: Convert to fraction form
    24,545,742/53,400,991 = 53,400,991/x
  3. Step 3: Cross multiply
    24,545,742x = 53,400,991 × 53,400,991
  4. Step 4: Simplify right side
    24,545,742x = 2,851,665,839,782,081
  5. Step 5: Solve for x
    x = 2,851,665,839,782,081/24,545,742
  6. Step 6: Final answer
    x = 116,177,618.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.