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Finding the Third Proportional to 18,901,724 and 41,224,420

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Solution

The third proportional to 18,901,724 and 41,224,420 is: 89,909,936.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,901,724 : 41,224,420 = 41,224,420 : x
  2. Step 2: Convert to fraction form
    18,901,724/41,224,420 = 41,224,420/x
  3. Step 3: Cross multiply
    18,901,724x = 41,224,420 × 41,224,420
  4. Step 4: Simplify right side
    18,901,724x = 1,699,452,804,336,400
  5. Step 5: Solve for x
    x = 1,699,452,804,336,400/18,901,724
  6. Step 6: Final answer
    x = 89,909,936.49

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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.