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Finding the Third Proportional to 25,996,200 and 36,342,456

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Solution

The third proportional to 25,996,200 and 36,342,456 is: 50,806,429.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,996,200 : 36,342,456 = 36,342,456 : x
  2. Step 2: Convert to fraction form
    25,996,200/36,342,456 = 36,342,456/x
  3. Step 3: Cross multiply
    25,996,200x = 36,342,456 × 36,342,456
  4. Step 4: Simplify right side
    25,996,200x = 1,320,774,108,111,936
  5. Step 5: Solve for x
    x = 1,320,774,108,111,936/25,996,200
  6. Step 6: Final answer
    x = 50,806,429.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.