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Finding the Third Proportional to 46,643,616 and 73,162,816

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Solution

The third proportional to 46,643,616 and 73,162,816 is: 114,759,491.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,643,616 : 73,162,816 = 73,162,816 : x
  2. Step 2: Convert to fraction form
    46,643,616/73,162,816 = 73,162,816/x
  3. Step 3: Cross multiply
    46,643,616x = 73,162,816 × 73,162,816
  4. Step 4: Simplify right side
    46,643,616x = 5,352,797,645,049,856
  5. Step 5: Solve for x
    x = 5,352,797,645,049,856/46,643,616
  6. Step 6: Final answer
    x = 114,759,491.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.