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Finding the Third Proportional to 4,734,996.75 and 10,200,132

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Solution

The third proportional to 4,734,996.75 and 10,200,132 is: 21,973,128.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734,996.75 : 10,200,132 = 10,200,132 : x
  2. Step 2: Convert to fraction form
    4,734,996.75/10,200,132 = 10,200,132/x
  3. Step 3: Cross multiply
    4,734,996.75x = 10,200,132 × 10,200,132
  4. Step 4: Simplify right side
    4,734,996.75x = 104,042,692,817,424
  5. Step 5: Solve for x
    x = 104,042,692,817,424/4,734,996.75
  6. Step 6: Final answer
    x = 21,973,128.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.