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Finding the Third Proportional to 2,537,823 and 5,493,822

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Solution

The third proportional to 2,537,823 and 5,493,822 is: 11,892,901.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537,823 : 5,493,822 = 5,493,822 : x
  2. Step 2: Convert to fraction form
    2,537,823/5,493,822 = 5,493,822/x
  3. Step 3: Cross multiply
    2,537,823x = 5,493,822 × 5,493,822
  4. Step 4: Simplify right side
    2,537,823x = 30,182,080,167,684
  5. Step 5: Solve for x
    x = 30,182,080,167,684/2,537,823
  6. Step 6: Final answer
    x = 11,892,901.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.