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Finding the Third Proportional to 133,622,147 and 279,461,409

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Solution

The third proportional to 133,622,147 and 279,461,409 is: 584,474,062.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,622,147 : 279,461,409 = 279,461,409 : x
  2. Step 2: Convert to fraction form
    133,622,147/279,461,409 = 279,461,409/x
  3. Step 3: Cross multiply
    133,622,147x = 279,461,409 × 279,461,409
  4. Step 4: Simplify right side
    133,622,147x = 78,098,679,120,265,280
  5. Step 5: Solve for x
    x = 78,098,679,120,265,280/133,622,147
  6. Step 6: Final answer
    x = 584,474,062.67

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.