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Finding the Third Proportional to 24,673,997 and 53,462,429

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Solution

The third proportional to 24,673,997 and 53,462,429 is: 115,839,817.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,673,997 : 53,462,429 = 53,462,429 : x
  2. Step 2: Convert to fraction form
    24,673,997/53,462,429 = 53,462,429/x
  3. Step 3: Cross multiply
    24,673,997x = 53,462,429 × 53,462,429
  4. Step 4: Simplify right side
    24,673,997x = 2,858,231,314,580,041
  5. Step 5: Solve for x
    x = 2,858,231,314,580,041/24,673,997
  6. Step 6: Final answer
    x = 115,839,817.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.