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Finding the Third Proportional to 4,496,950.41 and 9,782,758.55

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Solution

The third proportional to 4,496,950.41 and 9,782,758.55 is: 21,281,614.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496,950.41 : 9,782,758.55 = 9,782,758.55 : x
  2. Step 2: Convert to fraction form
    4,496,950.41/9,782,758.55 = 9,782,758.55/x
  3. Step 3: Cross multiply
    4,496,950.41x = 9,782,758.55 × 9,782,758.55
  4. Step 4: Simplify right side
    4,496,950.41x = 95,702,364,786,455.86
  5. Step 5: Solve for x
    x = 95,702,364,786,455.86/4,496,950.41
  6. Step 6: Final answer
    x = 21,281,614.46

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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.