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Finding the Third Proportional to 46,504,616 and 108,621,184

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Solution

The third proportional to 46,504,616 and 108,621,184 is: 253,707,322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,504,616 : 108,621,184 = 108,621,184 : x
  2. Step 2: Convert to fraction form
    46,504,616/108,621,184 = 108,621,184/x
  3. Step 3: Cross multiply
    46,504,616x = 108,621,184 × 108,621,184
  4. Step 4: Simplify right side
    46,504,616x = 11,798,561,613,561,856
  5. Step 5: Solve for x
    x = 11,798,561,613,561,856/46,504,616
  6. Step 6: Final answer
    x = 253,707,322.59

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.