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Finding the Third Proportional to 65,009,638 and 135,400,106

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Solution

The third proportional to 65,009,638 and 135,400,106 is: 282,007,241.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,009,638 : 135,400,106 = 135,400,106 : x
  2. Step 2: Convert to fraction form
    65,009,638/135,400,106 = 135,400,106/x
  3. Step 3: Cross multiply
    65,009,638x = 135,400,106 × 135,400,106
  4. Step 4: Simplify right side
    65,009,638x = 18,333,188,704,811,236
  5. Step 5: Solve for x
    x = 18,333,188,704,811,236/65,009,638
  6. Step 6: Final answer
    x = 282,007,241.83

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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.