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Finding the Third Proportional to 4,215,145.50 and 9,947,130.75

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Solution

The third proportional to 4,215,145.50 and 9,947,130.75 is: 23,473,782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215,145.50 : 9,947,130.75 = 9,947,130.75 : x
  2. Step 2: Convert to fraction form
    4,215,145.50/9,947,130.75 = 9,947,130.75/x
  3. Step 3: Cross multiply
    4,215,145.50x = 9,947,130.75 × 9,947,130.75
  4. Step 4: Simplify right side
    4,215,145.50x = 98,945,410,157,595.56
  5. Step 5: Solve for x
    x = 98,945,410,157,595.56/4,215,145.50
  6. Step 6: Final answer
    x = 23,473,782.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.