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Finding the Third Proportional to 36,414,297 and 78,022,592

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Solution

The third proportional to 36,414,297 and 78,022,592 is: 167,174,032.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,414,297 : 78,022,592 = 78,022,592 : x
  2. Step 2: Convert to fraction form
    36,414,297/78,022,592 = 78,022,592/x
  3. Step 3: Cross multiply
    36,414,297x = 78,022,592 × 78,022,592
  4. Step 4: Simplify right side
    36,414,297x = 6,087,524,862,398,464
  5. Step 5: Solve for x
    x = 6,087,524,862,398,464/36,414,297
  6. Step 6: Final answer
    x = 167,174,032.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.