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Finding the Third Proportional to 4,496,995 and 9,782,847

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Solution

The third proportional to 4,496,995 and 9,782,847 is: 21,281,788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496,995 : 9,782,847 = 9,782,847 : x
  2. Step 2: Convert to fraction form
    4,496,995/9,782,847 = 9,782,847/x
  3. Step 3: Cross multiply
    4,496,995x = 9,782,847 × 9,782,847
  4. Step 4: Simplify right side
    4,496,995x = 95,704,095,425,409
  5. Step 5: Solve for x
    x = 95,704,095,425,409/4,496,995
  6. Step 6: Final answer
    x = 21,281,788.27

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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.