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Finding the Third Proportional to 77,882,537 and 166,189,247

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Solution

The third proportional to 77,882,537 and 166,189,247 is: 354,622,061.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882,537 : 166,189,247 = 166,189,247 : x
  2. Step 2: Convert to fraction form
    77,882,537/166,189,247 = 166,189,247/x
  3. Step 3: Cross multiply
    77,882,537x = 166,189,247 × 166,189,247
  4. Step 4: Simplify right side
    77,882,537x = 27,618,865,818,427,008
  5. Step 5: Solve for x
    x = 27,618,865,818,427,008/77,882,537
  6. Step 6: Final answer
    x = 354,622,061.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.