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Finding the Third Proportional to 70,463,967 and 154,784,766

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Solution

The third proportional to 70,463,967 and 154,784,766 is: 340,008,160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,463,967 : 154,784,766 = 154,784,766 : x
  2. Step 2: Convert to fraction form
    70,463,967/154,784,766 = 154,784,766/x
  3. Step 3: Cross multiply
    70,463,967x = 154,784,766 × 154,784,766
  4. Step 4: Simplify right side
    70,463,967x = 23,958,323,785,674,756
  5. Step 5: Solve for x
    x = 23,958,323,785,674,756/70,463,967
  6. Step 6: Final answer
    x = 340,008,160.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.