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Finding the Third Proportional to 75,969,914 and 154,624,654

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Solution

The third proportional to 75,969,914 and 154,624,654 is: 314,713,843.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,969,914 : 154,624,654 = 154,624,654 : x
  2. Step 2: Convert to fraction form
    75,969,914/154,624,654 = 154,624,654/x
  3. Step 3: Cross multiply
    75,969,914x = 154,624,654 × 154,624,654
  4. Step 4: Simplify right side
    75,969,914x = 23,908,783,624,619,716
  5. Step 5: Solve for x
    x = 23,908,783,624,619,716/75,969,914
  6. Step 6: Final answer
    x = 314,713,843.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.