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Finding the Third Proportional to 16,448,258.25 and 35,642,295

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Solution

The third proportional to 16,448,258.25 and 35,642,295 is: 77,234,511.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,448,258.25 : 35,642,295 = 35,642,295 : x
  2. Step 2: Convert to fraction form
    16,448,258.25/35,642,295 = 35,642,295/x
  3. Step 3: Cross multiply
    16,448,258.25x = 35,642,295 × 35,642,295
  4. Step 4: Simplify right side
    16,448,258.25x = 1,270,373,192,867,025
  5. Step 5: Solve for x
    x = 1,270,373,192,867,025/16,448,258.25
  6. Step 6: Final answer
    x = 77,234,511.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.