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Finding the Third Proportional to 4,651,784 and 9,855,922

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Solution

The third proportional to 4,651,784 and 9,855,922 is: 20,882,138.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651,784 : 9,855,922 = 9,855,922 : x
  2. Step 2: Convert to fraction form
    4,651,784/9,855,922 = 9,855,922/x
  3. Step 3: Cross multiply
    4,651,784x = 9,855,922 × 9,855,922
  4. Step 4: Simplify right side
    4,651,784x = 97,139,198,470,084
  5. Step 5: Solve for x
    x = 97,139,198,470,084/4,651,784
  6. Step 6: Final answer
    x = 20,882,138.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.