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Finding the Third Proportional to 9,795,709.69 and 22,874,653.13

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Solution

The third proportional to 9,795,709.69 and 22,874,653.13 is: 53,416,217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795,709.69 : 22,874,653.13 = 22,874,653.13 : x
  2. Step 2: Convert to fraction form
    9,795,709.69/22,874,653.13 = 22,874,653.13/x
  3. Step 3: Cross multiply
    9,795,709.69x = 22,874,653.13 × 22,874,653.13
  4. Step 4: Simplify right side
    9,795,709.69x = 523,249,755,589,072.25
  5. Step 5: Solve for x
    x = 523,249,755,589,072.25/9,795,709.69
  6. Step 6: Final answer
    x = 53,416,217.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.