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Finding the Third Proportional to 36,669,996 and 77,711,238

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Solution

The third proportional to 36,669,996 and 77,711,238 is: 164,686,042.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,669,996 : 77,711,238 = 77,711,238 : x
  2. Step 2: Convert to fraction form
    36,669,996/77,711,238 = 77,711,238/x
  3. Step 3: Cross multiply
    36,669,996x = 77,711,238 × 77,711,238
  4. Step 4: Simplify right side
    36,669,996x = 6,039,036,511,492,644
  5. Step 5: Solve for x
    x = 6,039,036,511,492,644/36,669,996
  6. Step 6: Final answer
    x = 164,686,042.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.