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Finding the Third Proportional to 41,463,648 and 85,576,960

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Solution

The third proportional to 41,463,648 and 85,576,960 is: 176,622,570.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,463,648 : 85,576,960 = 85,576,960 : x
  2. Step 2: Convert to fraction form
    41,463,648/85,576,960 = 85,576,960/x
  3. Step 3: Cross multiply
    41,463,648x = 85,576,960 × 85,576,960
  4. Step 4: Simplify right side
    41,463,648x = 7,323,416,082,841,600
  5. Step 5: Solve for x
    x = 7,323,416,082,841,600/41,463,648
  6. Step 6: Final answer
    x = 176,622,570.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.