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Finding the Third Proportional to 16,384,768 and 35,280,640

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Solution

The third proportional to 16,384,768 and 35,280,640 is: 75,968,335.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384,768 : 35,280,640 = 35,280,640 : x
  2. Step 2: Convert to fraction form
    16,384,768/35,280,640 = 35,280,640/x
  3. Step 3: Cross multiply
    16,384,768x = 35,280,640 × 35,280,640
  4. Step 4: Simplify right side
    16,384,768x = 1,244,723,558,809,600
  5. Step 5: Solve for x
    x = 1,244,723,558,809,600/16,384,768
  6. Step 6: Final answer
    x = 75,968,335.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.