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Finding the Third Proportional to 25,952,864 and 61,264,180

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Solution

The third proportional to 25,952,864 and 61,264,180 is: 144,619,867.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,952,864 : 61,264,180 = 61,264,180 : x
  2. Step 2: Convert to fraction form
    25,952,864/61,264,180 = 61,264,180/x
  3. Step 3: Cross multiply
    25,952,864x = 61,264,180 × 61,264,180
  4. Step 4: Simplify right side
    25,952,864x = 3,753,299,751,072,400
  5. Step 5: Solve for x
    x = 3,753,299,751,072,400/25,952,864
  6. Step 6: Final answer
    x = 144,619,867.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.