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Finding the Third Proportional to 9,653,934.38 and 14,313,915

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Solution

The third proportional to 9,653,934.38 and 14,313,915 is: 21,223,281.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653,934.38 : 14,313,915 = 14,313,915 : x
  2. Step 2: Convert to fraction form
    9,653,934.38/14,313,915 = 14,313,915/x
  3. Step 3: Cross multiply
    9,653,934.38x = 14,313,915 × 14,313,915
  4. Step 4: Simplify right side
    9,653,934.38x = 204,888,162,627,225
  5. Step 5: Solve for x
    x = 204,888,162,627,225/9,653,934.38
  6. Step 6: Final answer
    x = 21,223,281.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.