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Finding the Third Proportional to 25,525,864 and 54,639,824

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Solution

The third proportional to 25,525,864 and 54,639,824 is: 116,960,208.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,525,864 : 54,639,824 = 54,639,824 : x
  2. Step 2: Convert to fraction form
    25,525,864/54,639,824 = 54,639,824/x
  3. Step 3: Cross multiply
    25,525,864x = 54,639,824 × 54,639,824
  4. Step 4: Simplify right side
    25,525,864x = 2,985,510,366,750,976
  5. Step 5: Solve for x
    x = 2,985,510,366,750,976/25,525,864
  6. Step 6: Final answer
    x = 116,960,208.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.