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Finding the Third Proportional to 4,658,723 and 9,543,330

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Solution

The third proportional to 4,658,723 and 9,543,330 is: 19,549,380.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658,723 : 9,543,330 = 9,543,330 : x
  2. Step 2: Convert to fraction form
    4,658,723/9,543,330 = 9,543,330/x
  3. Step 3: Cross multiply
    4,658,723x = 9,543,330 × 9,543,330
  4. Step 4: Simplify right side
    4,658,723x = 91,075,147,488,900
  5. Step 5: Solve for x
    x = 91,075,147,488,900/4,658,723
  6. Step 6: Final answer
    x = 19,549,380.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.