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Finding the Third Proportional to 4,584,640,852 and 6,881,813,790

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Solution

The third proportional to 4,584,640,852 and 6,881,813,790 is: 10,330,004,589.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584,640,852 : 6,881,813,790 = 6,881,813,790 : x
  2. Step 2: Convert to fraction form
    4,584,640,852/6,881,813,790 = 6,881,813,790/x
  3. Step 3: Cross multiply
    4,584,640,852x = 6,881,813,790 × 6,881,813,790
  4. Step 4: Simplify right side
    4,584,640,852x = 47,359,361,040,234,160,128
  5. Step 5: Solve for x
    x = 47,359,361,040,234,160,128/4,584,640,852
  6. Step 6: Final answer
    x = 10,330,004,589.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.