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Finding the Third Proportional to 36,414,293 and 78,022,584.50

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Solution

The third proportional to 36,414,293 and 78,022,584.50 is: 167,174,018.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,414,293 : 78,022,584.50 = 78,022,584.50 : x
  2. Step 2: Convert to fraction form
    36,414,293/78,022,584.50 = 78,022,584.50/x
  3. Step 3: Cross multiply
    36,414,293x = 78,022,584.50 × 78,022,584.50
  4. Step 4: Simplify right side
    36,414,293x = 6,087,523,692,059,640
  5. Step 5: Solve for x
    x = 6,087,523,692,059,640/36,414,293
  6. Step 6: Final answer
    x = 167,174,018.51

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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.