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Finding the Third Proportional to 36,186,739 and 78,041,966

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Solution

The third proportional to 36,186,739 and 78,041,966 is: 168,308,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,186,739 : 78,041,966 = 78,041,966 : x
  2. Step 2: Convert to fraction form
    36,186,739/78,041,966 = 78,041,966/x
  3. Step 3: Cross multiply
    36,186,739x = 78,041,966 × 78,041,966
  4. Step 4: Simplify right side
    36,186,739x = 6,090,548,457,145,156
  5. Step 5: Solve for x
    x = 6,090,548,457,145,156/36,186,739
  6. Step 6: Final answer
    x = 168,308,850.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.