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Finding the Third Proportional to 9,687,937 and 22,837,172

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Solution

The third proportional to 9,687,937 and 22,837,172 is: 53,833,589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687,937 : 22,837,172 = 22,837,172 : x
  2. Step 2: Convert to fraction form
    9,687,937/22,837,172 = 22,837,172/x
  3. Step 3: Cross multiply
    9,687,937x = 22,837,172 × 22,837,172
  4. Step 4: Simplify right side
    9,687,937x = 521,536,424,957,584
  5. Step 5: Solve for x
    x = 521,536,424,957,584/9,687,937
  6. Step 6: Final answer
    x = 53,833,589.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.