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Finding the Third Proportional to 4,193,742 and 9,172,488

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Solution

The third proportional to 4,193,742 and 9,172,488 is: 20,061,924.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193,742 : 9,172,488 = 9,172,488 : x
  2. Step 2: Convert to fraction form
    4,193,742/9,172,488 = 9,172,488/x
  3. Step 3: Cross multiply
    4,193,742x = 9,172,488 × 9,172,488
  4. Step 4: Simplify right side
    4,193,742x = 84,134,536,110,144
  5. Step 5: Solve for x
    x = 84,134,536,110,144/4,193,742
  6. Step 6: Final answer
    x = 20,061,924.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.