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Finding the Third Proportional to 36,213,966 and 78,601,104

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Solution

The third proportional to 36,213,966 and 78,601,104 is: 170,600,854.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,213,966 : 78,601,104 = 78,601,104 : x
  2. Step 2: Convert to fraction form
    36,213,966/78,601,104 = 78,601,104/x
  3. Step 3: Cross multiply
    36,213,966x = 78,601,104 × 78,601,104
  4. Step 4: Simplify right side
    36,213,966x = 6,178,133,550,018,816
  5. Step 5: Solve for x
    x = 6,178,133,550,018,816/36,213,966
  6. Step 6: Final answer
    x = 170,600,854.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.