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Finding the Third Proportional to 36,414,100.55 and 78,022,204.59

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Solution

The third proportional to 36,414,100.55 and 78,022,204.59 is: 167,173,274.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,414,100.55 : 78,022,204.59 = 78,022,204.59 : x
  2. Step 2: Convert to fraction form
    36,414,100.55/78,022,204.59 = 78,022,204.59/x
  3. Step 3: Cross multiply
    36,414,100.55x = 78,022,204.59 × 78,022,204.59
  4. Step 4: Simplify right side
    36,414,100.55x = 6,087,464,409,668,984
  5. Step 5: Solve for x
    x = 6,087,464,409,668,984/36,414,100.55
  6. Step 6: Final answer
    x = 167,173,274.04

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