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Finding the Third Proportional to 24,545,746 and 53,400,999

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Solution

The third proportional to 24,545,746 and 53,400,999 is: 116,177,633.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,545,746 : 53,400,999 = 53,400,999 : x
  2. Step 2: Convert to fraction form
    24,545,746/53,400,999 = 53,400,999/x
  3. Step 3: Cross multiply
    24,545,746x = 53,400,999 × 53,400,999
  4. Step 4: Simplify right side
    24,545,746x = 2,851,666,694,198,001
  5. Step 5: Solve for x
    x = 2,851,666,694,198,001/24,545,746
  6. Step 6: Final answer
    x = 116,177,633.97

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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.