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Finding the Third Proportional to 65,934,144 and 133,731,576

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Solution

The third proportional to 65,934,144 and 133,731,576 is: 271,242,384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,934,144 : 133,731,576 = 133,731,576 : x
  2. Step 2: Convert to fraction form
    65,934,144/133,731,576 = 133,731,576/x
  3. Step 3: Cross multiply
    65,934,144x = 133,731,576 × 133,731,576
  4. Step 4: Simplify right side
    65,934,144x = 17,884,134,419,443,776
  5. Step 5: Solve for x
    x = 17,884,134,419,443,776/65,934,144
  6. Step 6: Final answer
    x = 271,242,384.21

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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.