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Finding the Third Proportional to 669,380,016 and 1,446,317,786

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Solution

The third proportional to 669,380,016 and 1,446,317,786 is: 3,125,033,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,380,016 : 1,446,317,786 = 1,446,317,786 : x
  2. Step 2: Convert to fraction form
    669,380,016/1,446,317,786 = 1,446,317,786/x
  3. Step 3: Cross multiply
    669,380,016x = 1,446,317,786 × 1,446,317,786
  4. Step 4: Simplify right side
    669,380,016x = 2,091,835,138,099,941,888
  5. Step 5: Solve for x
    x = 2,091,835,138,099,941,888/669,380,016
  6. Step 6: Final answer
    x = 3,125,033,744.81

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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.