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Finding the Third Proportional to 4,962,419 and 10,749,243.50

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Solution

The third proportional to 4,962,419 and 10,749,243.50 is: 23,284,256.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962,419 : 10,749,243.50 = 10,749,243.50 : x
  2. Step 2: Convert to fraction form
    4,962,419/10,749,243.50 = 10,749,243.50/x
  3. Step 3: Cross multiply
    4,962,419x = 10,749,243.50 × 10,749,243.50
  4. Step 4: Simplify right side
    4,962,419x = 115,546,235,822,292.25
  5. Step 5: Solve for x
    x = 115,546,235,822,292.25/4,962,419
  6. Step 6: Final answer
    x = 23,284,256.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.