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Finding the Third Proportional to 4,782,145.75 and 10,246,526.75

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Solution

The third proportional to 4,782,145.75 and 10,246,526.75 is: 21,954,853.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782,145.75 : 10,246,526.75 = 10,246,526.75 : x
  2. Step 2: Convert to fraction form
    4,782,145.75/10,246,526.75 = 10,246,526.75/x
  3. Step 3: Cross multiply
    4,782,145.75x = 10,246,526.75 × 10,246,526.75
  4. Step 4: Simplify right side
    4,782,145.75x = 104,991,310,438,465.56
  5. Step 5: Solve for x
    x = 104,991,310,438,465.56/4,782,145.75
  6. Step 6: Final answer
    x = 21,954,853.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.