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Finding the Third Proportional to 36,414,315 and 78,022,629

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Solution

The third proportional to 36,414,315 and 78,022,629 is: 167,174,108.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,414,315 : 78,022,629 = 78,022,629 : x
  2. Step 2: Convert to fraction form
    36,414,315/78,022,629 = 78,022,629/x
  3. Step 3: Cross multiply
    36,414,315x = 78,022,629 × 78,022,629
  4. Step 4: Simplify right side
    36,414,315x = 6,087,530,636,071,641
  5. Step 5: Solve for x
    x = 6,087,530,636,071,641/36,414,315
  6. Step 6: Final answer
    x = 167,174,108.21

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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.