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Finding the Third Proportional to 65,933,865 and 133,731,018

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Solution

The third proportional to 65,933,865 and 133,731,018 is: 271,241,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,933,865 : 133,731,018 = 133,731,018 : x
  2. Step 2: Convert to fraction form
    65,933,865/133,731,018 = 133,731,018/x
  3. Step 3: Cross multiply
    65,933,865x = 133,731,018 × 133,731,018
  4. Step 4: Simplify right side
    65,933,865x = 17,883,985,175,316,324
  5. Step 5: Solve for x
    x = 17,883,985,175,316,324/65,933,865
  6. Step 6: Final answer
    x = 271,241,268.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.