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Finding the Third Proportional to 2,144,043 and 4,713,144.75

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Solution

The third proportional to 2,144,043 and 4,713,144.75 is: 10,360,675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144,043 : 4,713,144.75 = 4,713,144.75 : x
  2. Step 2: Convert to fraction form
    2,144,043/4,713,144.75 = 4,713,144.75/x
  3. Step 3: Cross multiply
    2,144,043x = 4,713,144.75 × 4,713,144.75
  4. Step 4: Simplify right side
    2,144,043x = 22,213,733,434,452.56
  5. Step 5: Solve for x
    x = 22,213,733,434,452.56/2,144,043
  6. Step 6: Final answer
    x = 10,360,675.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.