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Finding the Third Proportional to 36,009,137 and 78,848,518

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Solution

The third proportional to 36,009,137 and 78,848,518 is: 172,653,090.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,009,137 : 78,848,518 = 78,848,518 : x
  2. Step 2: Convert to fraction form
    36,009,137/78,848,518 = 78,848,518/x
  3. Step 3: Cross multiply
    36,009,137x = 78,848,518 × 78,848,518
  4. Step 4: Simplify right side
    36,009,137x = 6,217,088,790,796,324
  5. Step 5: Solve for x
    x = 6,217,088,790,796,324/36,009,137
  6. Step 6: Final answer
    x = 172,653,090.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.