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Finding the Third Proportional to 10,180,050 and 21,954,144

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Solution

The third proportional to 10,180,050 and 21,954,144 is: 47,345,979.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180,050 : 21,954,144 = 21,954,144 : x
  2. Step 2: Convert to fraction form
    10,180,050/21,954,144 = 21,954,144/x
  3. Step 3: Cross multiply
    10,180,050x = 21,954,144 × 21,954,144
  4. Step 4: Simplify right side
    10,180,050x = 481,984,438,772,736
  5. Step 5: Solve for x
    x = 481,984,438,772,736/10,180,050
  6. Step 6: Final answer
    x = 47,345,979.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.