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Finding the Third Proportional to 49,564,416.38 and 69,674,367.38

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Solution

The third proportional to 49,564,416.38 and 69,674,367.38 is: 97,943,601.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,564,416.38 : 69,674,367.38 = 69,674,367.38 : x
  2. Step 2: Convert to fraction form
    49,564,416.38/69,674,367.38 = 69,674,367.38/x
  3. Step 3: Cross multiply
    49,564,416.38x = 69,674,367.38 × 69,674,367.38
  4. Step 4: Simplify right side
    49,564,416.38x = 4,854,517,469,106,464
  5. Step 5: Solve for x
    x = 4,854,517,469,106,464/49,564,416.38
  6. Step 6: Final answer
    x = 97,943,601.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.