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Finding the Third Proportional to 734,470,326 and 1,551,839,130

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Solution

The third proportional to 734,470,326 and 1,551,839,130 is: 3,278,831,833.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,470,326 : 1,551,839,130 = 1,551,839,130 : x
  2. Step 2: Convert to fraction form
    734,470,326/1,551,839,130 = 1,551,839,130/x
  3. Step 3: Cross multiply
    734,470,326x = 1,551,839,130 × 1,551,839,130
  4. Step 4: Simplify right side
    734,470,326x = 2,408,204,685,399,156,736
  5. Step 5: Solve for x
    x = 2,408,204,685,399,156,736/734,470,326
  6. Step 6: Final answer
    x = 3,278,831,833.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.