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Finding the Third Proportional to 7,949,314.69 and 17,466,288.19

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Solution

The third proportional to 7,949,314.69 and 17,466,288.19 is: 38,377,046.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949,314.69 : 17,466,288.19 = 17,466,288.19 : x
  2. Step 2: Convert to fraction form
    7,949,314.69/17,466,288.19 = 17,466,288.19/x
  3. Step 3: Cross multiply
    7,949,314.69x = 17,466,288.19 × 17,466,288.19
  4. Step 4: Simplify right side
    7,949,314.69x = 305,071,223,048,802.06
  5. Step 5: Solve for x
    x = 305,071,223,048,802.06/7,949,314.69
  6. Step 6: Final answer
    x = 38,377,046.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.