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Finding the Third Proportional to 25,872,824.25 and 52,505,934.75

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Solution

The third proportional to 25,872,824.25 and 52,505,934.75 is: 106,554,783.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,872,824.25 : 52,505,934.75 = 52,505,934.75 : x
  2. Step 2: Convert to fraction form
    25,872,824.25/52,505,934.75 = 52,505,934.75/x
  3. Step 3: Cross multiply
    25,872,824.25x = 52,505,934.75 × 52,505,934.75
  4. Step 4: Simplify right side
    25,872,824.25x = 2,756,873,183,971,257.50
  5. Step 5: Solve for x
    x = 2,756,873,183,971,257.50/25,872,824.25
  6. Step 6: Final answer
    x = 106,554,783.40

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.