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Finding the Third Proportional to 65,009,736 and 135,400,329

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Solution

The third proportional to 65,009,736 and 135,400,329 is: 282,007,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,009,736 : 135,400,329 = 135,400,329 : x
  2. Step 2: Convert to fraction form
    65,009,736/135,400,329 = 135,400,329/x
  3. Step 3: Cross multiply
    65,009,736x = 135,400,329 × 135,400,329
  4. Step 4: Simplify right side
    65,009,736x = 18,333,249,093,308,240
  5. Step 5: Solve for x
    x = 18,333,249,093,308,240/65,009,736
  6. Step 6: Final answer
    x = 282,007,745.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.