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Finding the Third Proportional to 4,782,831,843.38 and 6,732,346,233.09

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Solution

The third proportional to 4,782,831,843.38 and 6,732,346,233.09 is: 9,476,495,784.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782,831,843.38 : 6,732,346,233.09 = 6,732,346,233.09 : x
  2. Step 2: Convert to fraction form
    4,782,831,843.38/6,732,346,233.09 = 6,732,346,233.09/x
  3. Step 3: Cross multiply
    4,782,831,843.38x = 6,732,346,233.09 × 6,732,346,233.09
  4. Step 4: Simplify right side
    4,782,831,843.38x = 45,324,485,802,249,592,832
  5. Step 5: Solve for x
    x = 45,324,485,802,249,592,832/4,782,831,843.38
  6. Step 6: Final answer
    x = 9,476,495,784.61

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.