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Finding the Third Proportional to 9,318,723 and 19,932,822

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Solution

The third proportional to 9,318,723 and 19,932,822 is: 42,636,463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318,723 : 19,932,822 = 19,932,822 : x
  2. Step 2: Convert to fraction form
    9,318,723/19,932,822 = 19,932,822/x
  3. Step 3: Cross multiply
    9,318,723x = 19,932,822 × 19,932,822
  4. Step 4: Simplify right side
    9,318,723x = 397,317,392,883,684
  5. Step 5: Solve for x
    x = 397,317,392,883,684/9,318,723
  6. Step 6: Final answer
    x = 42,636,463.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.