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Finding the Third Proportional to 4,496,986 and 9,782,829

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Solution

The third proportional to 4,496,986 and 9,782,829 is: 21,281,752.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496,986 : 9,782,829 = 9,782,829 : x
  2. Step 2: Convert to fraction form
    4,496,986/9,782,829 = 9,782,829/x
  3. Step 3: Cross multiply
    4,496,986x = 9,782,829 × 9,782,829
  4. Step 4: Simplify right side
    4,496,986x = 95,703,743,243,241
  5. Step 5: Solve for x
    x = 95,703,743,243,241/4,496,986
  6. Step 6: Final answer
    x = 21,281,752.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.